Category: ICSE

ML Aggarwal Class 7 Solutions Chapter 10 Lines and Angles Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 10 Lines and Angles Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) If two angles are complementary, then the sum of their measures is ………..
(ii) If two angles are supplementary, then the sum of their measures is …………
(iii) Supplement of an obtuse angle is ……….
(iv) Two angles forming a linear pair are ……….
(v) If two adjacent angles are supplementary, then they form a ………..
(vi) Angles of a linear pair are as well as ………..
(vii) Adjacent angles have a common vertex, a common ……….. and no common ………
(viii)Angles formed by two intersecting lines having no common arms are called ………..
(ix) If two lines intersect and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ……..
(x) Two lines in a plane which never meet are called ……….
(xi) Alternate interior angles have one common …………
(xii) Corresponding angles are on the ……….. side of the transversal.
(xiii) Alternate interior angles are on the ………… side of the transversal.
(xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are ………..
Solution:

Question 2.
In the given figure, AB is a straight line and OD ⊥ AB. Observe the figure and fill in the following blanks:

(i) ∠AOC and ∠COE form a pair of ……….. angles.
(ii) ∠AOC and ∠COB are ……….. angles.
(iii) ∠AOC is ………… of ∠COD.
(iv) ∠BOE is …………. of ∠EOA.
Solution:

Question 3.
State whether the following statements are true (T) or false (F):
(i) Two obtuse angles can be supplementary.
(ii) Two acute angles can form a linear pair.
(iii) Two obtuse angles can form a linear pair.
(iv) Two adjacent angles always form a linear pair.
(v) Pair of vertically opposite angles are always supplementary.
(vi) 30° is one-half of its complement.
(vii) If two lines are cut by a transversal,
then each pair of corresponding angles are equal.
(viii) If two lines are cut by a transversal,
then each pair of alternate interior angles are equal.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (4 to 14):
Question 4.
A pair of complementary angles is
(a) 130°, 50°
(b) 35°, 55°
(c) 25°, 75°
(d) 27°, 53°
Solution:

Question 5.
A pair of supplementary angles is
(a) 55°, 115°
(b) 65°, 125°
(b) 47°, 133°
(d) 40°, 50°
Solution:

Question 6.
If an angle is one-third of its supplement, then the measure of the angle is
(a) 45°
(b) 30°
(c) 135°
(d) 150°
Solution:

Question 7.
If an angle measures 10° more than its complement, then the measure of the angle is
(a) 40°
(b) 55°
(c) 35°
(d) 50°
Solution:

Question 8.
If one angle of a linear pair is acute, then the other angle is
(a) acute
(b) obtuse
(c) right
(d) straight
Solution:

Question 9.
In the given figure, the value of x that will make AOB a straight line is
(a) x = 40
(b) x = 35
(c) x = 30
(d) x = 25

Solution:

Question 10.
If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is
(a) 1
(b) 2
(c) 3
(d) 4
Solution:

Question 11.
In the given figure, if l || m then the value of x is
(a) x = 50
(b) x = 60
(c) x = 70
(d) x = 45

Solution:

Question 12.
In the gitsen figure, if l || m then the value of x is
(a) x = 75°
(b) x = 95°
(c) x = 105°
(d) x = 115°

Solution:

Question 13.
In the given figure, AB || CD. If ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is
(a) 30°
(b) 50°
(c) 80°
(d) 130°

Solution:

Question 14.
In the given figure, PA || BC || DQ and AB || DC. Then the values of x and y are respectively:
(a) 50°, 120°
(b) 50°, 130°
(c) 60°, 120°
(d) 60°, 130°

Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows):

Solution:

ML Aggarwal Class 7 Solutions Chapter 10 Lines and Angles Ex 10.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 10 Lines and Angles Ex 10.2

Question 1.
Identify each of the given pair of angles as alternate interior angles, co-interior angles or corresponding angles or none of these in the given figure:

(i) ∠2, ∠6
(ii) ∠1, ∠6
(iii) ∠3, ∠5
(iv) ∠2, ∠7
(v) ∠3, ∠6
(vi) ∠4, ∠8
Solution:

Question 2.
State the property that is used in each of the following statements:
(i) If a || b, then ∠1 = ∠5.
(ii) If ∠4 = ∠6, then a || b.
(iii) If ∠4 + ∠5 = 180°, then a || b.

Solution:

Question 3.
In each of the following figures, a pair of parallel lines is cut by a transversal. Find the value of x:

Solution:

Question 4.
In the following figures, a pair of parallel lines are cut by a transversal. Find the value of x in each figure.

Solution:

Question 5.
In the following figures (i) to (vi), a pair of parallel lines are cut by a transversal. Find the size of each lettered angle.

Solution:

Question 6.
In the given diagram, lines AB, CD and EF are parallel. Calculate the values of x and y. Hence, find the reflex angle ECA.

Solution:

Question 7.
In the given figure, l || m. Find the values of x, y and z.

Solution:

Question 8.
Calculate the measure of each lettered angle in the following figure (parallel lines, segment or rays are denoted by thick matching arrows):

Solution:

Question 9.
In the figure given below, state whether the lines l and m are parallel or not.

Solution:

ML Aggarwal Class 7 Solutions Chapter 11 Triangles and its Properties Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Check Your Progress

Question 1.
Find the value of x in each of the following diagrams:

Solution:

Question 2.
In the given figure, ∠B = 70° and ∠A = 50°. If the bisector of ∠C meets AB in D, then find ∠ADC.

Solution:

Question 3.
Find the values of x and y in each of the following figures:

Solution:

Question 4.
If the two acute angles of a right-angled triangle are in the ratio 7 : 8, find these angles.
Solution:

Question 5.
If the angles of a triangle are (3x)°, (2x – 7)° and (4x – 11)°, then find the value of x.
Solution:

Question 6.
In an isosceles triangle, the vertical angle is 15° greater than each of its base angles. Find all the angles of the triangle.
Solution:

Question 7.
Can a triangle have three sides whose lengths are
(i) 4.5 cm, 3.8 cm, 7.2 cm?
(ii) 3.2 cm, 5.3 cm, 9.4 cm?
Solution:

Question 8.
If the lengths of two sides of a triangle are 5 cm and 12 cm, then what can be the length of the third side?
Solution:

Question 9.
In the given figure, all measurements are in centimeters. If AD is perpendicular to BC, find the length of AB.

Solution:

Question 10.
In the given figure, AB and CD are two vertical poles of height 19 m and 11 m respectively. If the shortest distance between their tops is 17 m, find how far apart they are?

Solution:

ML Aggarwal Class 7 Solutions Chapter 10 Lines and Angles Ex 10.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 10 Lines and Angles Ex 10.1

Question 1.
(i) Can two right angles be complementary?
(ii) Can two right angles be supplementary?
(iii) Can two adjacent angles be complementary?
(iv) Can two adjacent angles be supplementary?
(v) Can two obtuse angles be adjacent?
(vi) Can an acute angle be adjacent to an obtuse angle?
(vii) Can two right angles form a linear pair?
Solution:

Question 2.
Find the complement of each of the following angles:

Solution:

Question 3.
Find the supplement of each of the following angles:

Solution:

Question 4.
Identify which of the following pairs of angles are complementary and which are supplementary:
(i) 55°, 125°
(ii) 34°, 56°
(iii) 137°, 43°
(iv) 112°, 68°
(v) 45°, 45°
(vi) 72°, 18°
Solution:

Question 5.
(i) Find the angle which is equal to its complement.
(ii) Find the angle which is equal to its supplement.
Solution:

Question 6.
Two complementary angles are (x + 4)° and (2x – 7)°, find the value of x.
Solution:

Question 7.
Two supplementary angles are in the ratio of 2 : 7, find the angles.
Solution:

Question 8.
Among two supplementary angles, the measure of the longer angle is 44° more than the measure of the smaller angle. Find their measures.
Solution:

Question 9.
If an angle is half of its complement, find the measure of angles.
Solution:

Question 10.
Two adjacent angles are in the ratio 5 : 3 and they together form an angle of 128°, find these angles.
Solution:

Question 11.
Find the value of x in each of the following diagrams:

Solution:

Question 12.
Find the values of x, y and z in each of the following diagrams:

Solution:

Question 13.
In the given figure, lines AB and CD intersect at F. If ∠EFA = ∠AFD and ∠CFB = 50°, find ∠EFC.

Solution:

ML Aggarwal Class 7 Solutions Chapter 11 Triangles and its Properties Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) A triangle has at least ………… acute angles.
(ii) A triangle cannot have more than ……… right angle.
(iii) A triangle cannot have more than ………… obtuse angle.
(iv) In every triangle, the sum of (interior) angles of a triangle = ……….. right angles.
(v) In every triangle, an exterior angle + adjacent interior angle = ………… degrees.
(vi) In every triangle, an exterior angle = sum of the …….. interior opposite angles.
(vii) In a right-angled triangle, if one of the acute angles measures 25° then the measure of the other acute angle is …………
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) A triangle can have all three angles with a measure greater than 60°.
(ii) A triangle can have all three angles with a measure of less than 60°.
(iii) If an exterior angle of a triangle is a right angle, then each of its interior opposite angles is acute.
(iv) In a right-angled triangle, the sum of two acute angles is 90°.
(v) If all the three sides of a triangle are equal, then it is called a scalene triangle.
(vi) Every equilateral triangle is an isosceles triangle.
(vii) Every isosceles triangle must be an equilateral triangle.
(viii) Each acute angle of an isosceles right-angled triangle measures 60°.
(ix) A median of a triangle always lies inside the triangle.
(x) An altitude of a triangle always lies outside the triangle.
(xii) In a triangle, the sum of squares of two sides is equal to the square of the third side.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 17):
Question 3.
A triangle formed by the sides of lengths 4.5 cm, 6 cm, and 4.5 cm is
(a) scalene
(b) isosceles
(c) equilateral
(d) none of these
Solution:

Question 4.
The number of medians in a triangle is
(a) 1
(b) 2
(c) 3
(d) 4
Solution:

Question 5.
An exterior angle of a triangle is 125°. If one of the two interior opposite angles is 55° then the other interior opposite angle is
(a) 70°
(b) 55°
(c) 60°
(d) 80°
Solution:

Question 6.
In a ∆ABC, if ∠A = 40° and ∠B = 55° then ∠C is
(a) 75°
(b) 80°
(c) 95°
(d) 85°
Solution:

Question 7.
If the angles of a triangle are 35°, 35°, and 110°, then it is
(a) an isosceles triangle
(b) an equilateral triangle
(c) a scalene triangle
(d) right-angled triangle
Solution:

Question 8.
A triangle whose two angles measure 30° and 120° is
(a) scale
(b) isosceles
(c) equilateral
(d) none of these
Solution:

Question 9.
A triangle can have two
(a) right angles
(b) obtuse angles
(c) acute angles
(d) straight angles
Solution:

Question 10.
A triangle whose angles measure 35°, 35° and 90° is
(a) acute-angled
(b) right-angled
(c) obtuse-angled
(d) isosceles
Solution:

Question 11.
A triangle is not possible whose angles measure
(a) 40°, 65°, 75°
(b) 50°, 56°, 74°
(c) 72°, 63°, 45°
(d) 67°, 42°, 81°
Solution:

Question 12.
If in an isosceles triangle, each of the base angles is 40°, then the triangle is
(a) right-angled triangle
(b) acute-angled triangle
(c) obtuse-angled triangle
(d) isosceles right-angled triangle
Solution:

Question 13.
A triangle is not possible with sides of lengths (in cm)
(a) 6, 4, 10
(b) 5, 3, 7
(c) 7, 8, 9
(d) 3.6, 5.4, 8
Solution:

Question 14.
Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm?
(a) 32 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm
Solution:

Question 15.
In a right-angled triangle, the lengths of two leg’s are 6 cm and 8 cm. The length of the hypotenuse is
(a) 14 cm
(b) 10 cm
(c) 11 cm
(d) 12 cm
Solution:

Question 16.
If the dimensions of a rectangle are 15 m and 8 m, then the length of a diagonal is
(a) 7 m
(b) 23 m
(c) 17 m
(d) 20 m
Solution:

Question 17.
If p, q, and r are the lengths of the three sides of a triangle, then which of the following statements is correct?
(a) p + q = r
(b) p + q < r (c) p + q > r
(d) p – q > r
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
In ∆DEF, DM and EN are two medians. Prove that 3(DF + EF) > 2(DM + EN).
Solution:

Question 2.
In a ∆ABC, medians AD, BE and CF intersect each other at point G. Prove that 3(AB + BC + CA) > 2(AD + BE + CF).
Solution:

ML Aggarwal Class 7 Solutions Chapter 9 Linear Equations and Inequalities Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Check Your Progress

Question 1.
Solve the following equations :
(i) 2 (x – 5) + 3 (x – 2) = 8 + 7 (x – 4)

Solution:

Question 2.
A number exceeds its three-fifth by 22. Find the number.
Solution:

Question 3.
When 9 is added to twice a number, the result is 3 more than thrice the number. Find the number.
Solution:

Question 4.
The ten’s digit of a two digit number is twice the unit’s digit. The sum of the number and its unit’s digit is 66. Find the number.
Solution:

Question 5.
A student bought some pens at ₹ 8 each and some pencils at ₹ 1.50 each. If the total number of pens and pencils purchased is 16 and their total cost is ₹ 50, how many pens did he buy?
Solution:

Question 6.
Arvind is eight years older than his sister. In three years, he will be twice as old as his sister. How old are they now?
Solution:

Question 7.
The angles of a triangle are in the ratio 1 : 2 : 3. Find their measure in degrees.
Solution:

Question 8.
Solve the following inequations and represent their solution on a number line:

Solution:

ML Aggarwal Class 7 Solutions Chapter 11 Triangles and its Properties Ex 11.5 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Ex 11.5

Question 1.
PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR.
Solution:

Question 2.
ABC is a triangle, right-angled at C. If AB = 25 cm and AC = 7 cm, find BC.
Solution:

Question 3.
Find the value of x in each of the following figures. All measurements are in centimeters.

Solution:

Question 4.
Which of the following can be the sides of a right-angled triangle?
(i) 4 cm, 5 cm, 7 cm
(ii) 1.5 cm, 2 cm, 2.5 cm
(iii) 7 cm, 5.6 cm, 4.2 cm
Solution:

Question 5.
A 15 m long ladder reaches a window 12 m high from the ground on placing it against a wall. How far is the foot of the ladder from the wall?
Solution:

Question 6.
Find the area and the perimeter of the rectangle whose length is 15 cm and the length of one diagonal is 17 cm.
Solution:

Question 7.
If the diagonals of a rhombus measure 10 cm and 24 cm, find its perimeter.
Solution:

Question 8.
The side of a rhombus is 5 cm. If the length of one diagonal of the rhombus is 8 cm, then find the length of the other diagonal.
Solution:

ML Aggarwal Class 7 Solutions Chapter 11 Triangles and its Properties Ex 11.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Ex 11.4

Question 1.
Is it possible to have a triangle with the following sides?
(i) 2 cm, 3 cm, 5 cm
(ii) 2.5 cm, 4.5 cm, 8 cm
(iii) 10.2 cm, 5.8 cm, 4.5 cm
(iv) 3.4 cm, 4.7 cm, 6.2 cm
Solution:

Question 2.
If the lengths of two sides of a triangle are 7 cm and 10 cm, then what can be the length of the third side?
Solution:

Question 3.
We know that in a triangle, the sum of lengths of any two sides is greater than the length of the third side. Is the sum of any angles of a triangle also greater than the third angle? If no, draw a rough sketch to show such a case.
Solution:

ML Aggarwal Class 7 Solutions Chapter 9 Linear Equations and Inequalities Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) A linear equation in one variable cannot have more than ………… solution.
(ii) If five times a number is 50, then the number is ……….
(iii) The number 4 is the ………. of the equation 2y – 5 = 3.
(iv) The equation for the statement ‘5 less than thrice a number x is 7’ is ……….
(v) …………. is a solution of the equation 4x + 9 = 5.
(vi) If 3x + 7 = 1, then the value of 5x + 13 is ………..
(vii) In natural numbers, 4x + 5 = -7 has ……….. solution.
(viii) In integers, 3x – 1 = 4 has …………. solution.
(ix) 5x + ………. = 13 has the solution -3.
(x) If a number is increased by 15, it becomes 50. Then the number is ……..
(xi) If 63 exceed another number by 21, then the other number is …………
(xii) If x ∈ W, then the solution set of x < 2 is ………..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) We can add (or subtract) the same number of expression to both sides of an equation.
(ii) We can divide both sides of an equation by the same non-zero number.
(iii) 3x – 5 = 2(x + 3) + 7 is a linear equation in one variable.
(iv) The solution of the equation 3(x – 4) = 30 is x = 6.
(v) The solution of the equation 3x – 5 = 2 is x = \(\frac { 7 }{ 3 }\)
(vi) The solution of a linear equation in one variable is always an integer.
(vii) 4x + 5 < 65 is not an equation.
(viii) 2x + 1 = 7 and 3x – 5 = 4 have the same solution.
(ix) \(\frac { 9 }{ 4 }\) is a solution of the equation 5x – 1 = 8.
(x) If 5 is a solution of variable x in the equation \(\frac { 5x-7 }{ 2 }\) = y, then the value of y is 18.
(xi) One-fourth of a number added to itself given 10, can be represented as \(\frac { x }{ 4 }\) + 10 = x.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 17):
Question 3.
Which of the following is not a linear equation in one variable?
(a) 3x – 1 = 7
(b) 5y – 2 = 3 (y + 2)
(c) 2x – 3 = \(\frac { 7 }{ 2 }\)
(d) 7p + q = 3
Solution:

Question 4.
The solution of the equation \(\frac { 1 }{ 3 }\)(2y – 1) = 3 is
(a) 5
(b) 3
(c) 2
(d) 1
Solution:

Question 5.
x = -1 is a solution of the equation
(a) x – 5 = 6
(b) 2x + 5 = 7
(c) 2(x – 2) + 6 = 0
(d) 3x + 5 = 4
Solution:

Question 6.
If 3(3n – 10) = 2n + 5, then the value of n is
(a) 12
(b) 5
(c) 3
(d) -5
Solution:

Question 7.
-1 is not a solution of the equation
(a) x + 1 = 0
(b) 3x + 4 = 1
(c) 5x + 7 = 2
(d) x – 1 = 2
Solution:

Question 8.
The value of p for which the expressions p – 13 and 2p + 1 become equal is
(a) 0
(b) 14
(c) -14
(d) 5
Solution:

Question 9.
The equation which cannot be solved in integers is
(a) 5x – 3 = -18
(b) 3y – 5 = y – 1
(c) 3p + 8 = 3 + p
(d) 9z + 8 = 4z – 7
Solution:

Question 10.
The solution of which of the following equations is neither an integer nor a fraction?
(a) 2x + 5 = 1
(b) 3x – 7 = 0
(c) 5x – 7 = x + 1
(d) 4x + 7 = x + 2
Solution:

Question 11.
If the sum of two consecutive even numbers is 54, then the smaller number is
(a) 25
(b) 26
(c) 27
(d) 28
Solution:

Question 12.
If the sum of two consecutive odd numbers is 28, then the bigger number is
(a) 19
(b) 17
(c) 15
(d) 13
Solution:

Question 13.
If 5 added to thrice an integer is -7, then the integer is
(a) -6
(b) -5
(c) -4
(d) 4
Solution:

Question 14.
If the length of a rectangle is twice its breadth and its perimeter is 120 m, then its length is
(a) 20 m
(b) 30 m
(c) 40 m
(d) 60 m
Solution:

Question 15.
If the difference of two complementary angles is 10°, then the smaller angle is
(a) 40°
(b) 50°
(c) 45°
(d) 35°
Solution:

Question 16.
If the difference of two supplementary angles is 30°, then the larger angle is
(a) 60°
(b) 75°
(c) 90°
(d) 105°
Solution:

Question 17.
If x ∈ W, the solution set of the inequation -2 ≤ x < 3 is
(a) {-2, -1,0, 1, 2}
(b) {-1, 0, 1, 2, 3}
(c) {0, 1, 2, 3}
(d) (0, 1, 2}
Solution:

Value Based Questions

Question 1.
On his 13th birthday, a boy decided to distribute blankets to the poor people instead of giving a party to his friends. Half of the blankets he distributed in an old age home, three fourths of the remaining in an orphanage and rest 20 were distributed to the roadside beggars. Find the number of blankets he had. What values are being promoted?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
Two persons start moving from two points A and B in opposite directions towards each other. One person start moving from A at a speed of 4 km/h and meets the other person coming from B after 6 hours. If the distance between A and B is 42 km, find the speed of the other person.
Solution:

Question 2.
There are some benches in the classroom. If 4 students sit on each bench then 3 benches remain empty and if 3 students sit on each bench then 3 students remain standing. Find the number of students in the class.
Solution:

ML Aggarwal Class 7 Solutions Chapter 11 Triangles and its Properties Ex 11.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Ex 11.3

Question 1.
Find the value of x in each of the following figures:

Solution:

Question 2.
Find the value of x in each of the following figures:

Solution:

Question 3.
Find the values of x and y in each of the following figures:

Solution:

Question 4.
Calculate the size of each lettered angle in the following figures:

Solution:

Question 5.
If the angles of a triangle are in the ratio 1 : 2 : 1, find all the angles of the triangle. Classify the triangle in two different ways.
Solution:

Question 6.
In an isosceles triangle, a base angle is four times its vertical angle. Find all the angles of the triangle.
Solution:

ML Aggarwal Class 7 Solutions Chapter 11 Triangles and its Properties Ex 11.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 11 Triangles and its Properties Ex 11.2

Question 1.
Find the value of the unknown exterior angle x in each of the following diagrams:

Solution:

Question 2.
Find the value of the unknown interior angle x in each of the following diagrams:

Solution:

Question 3.
Find the value of x in each of the following diagrams:

Solution:

Question 4.
Find the value of unknown x in each of the following:

Solution:

Question 5.
Find the values of x and y in each of the following diagrams:

Solution:

Question 6.
Find the values of x and y in each of the following diagrams:

Solution:

Question 7.
In the adjoining figure, find the size of each lettered angle.

Solution:

Question 8.
One of the angles of a triangle measures 80° and the other two angles are equal. Find the measure of each of the equal angles.
Solution:

Question 9.
If one angle of a triangle is 60° and the other two angles are in the ratio 2 : 3, find these angles.
Solution:

Question 10.
If the angles of a triangle are in the ratio 1 : 2 : 3, find the angles. Classify the triangle in two different ways.
Solution:

Question 11.
Can a triangle have three angles whose measures are
(i) 65°, 74°, 39°?
(ii) \(\frac { 1 }{ 3 }\) right angle, 1 right angle, 60°?
Solution: