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: