## 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: