# Find the value of x in each of the following figures if l || m

**Solution:**

We use the geometry concepts like parallel lines, alternate interior angles, supplementary angles, vertically opposite angles and adjacent angles to solve the problem.

There are two operations done in sequence. First, find the corresponding angle to 110°, say ∠𝑦, then by using the linear pair, find the value 𝑜𝑓 ∠𝑥.

Given l || m and t is transversal and ∠𝑦 = 110^{°} (Corresponding angle)

∠𝑥 + ∠𝑦 = 180° (Linear pair)

∠𝑥 = 180° − 110°

∠𝑥 = 70°

(ii) Let’s visually model this problem. There is one operation that can be done. Find the corresponding angle to x. According to this model, the resultant value of the corresponding angle will be equal to x. Now, it’s a matter of finding the measure of x.

Solve for 𝑥

Given l || m and a || b,

∠𝑥 = 100° (corresponding angle)

**Video Solution:**

## Find the value of x in each of the following figures if l || m

### NCERT Solutions for Class 7 Maths - Chapter 5 Exercise 5.2 Question 4

Find the value of x in each of the following figures if l || m

(i) ∠𝑥 = 70°, (ii) ∠𝑥 = 100°