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.

(i) Given l || m and t is transversal and ∠𝑦 = 110^° 

∠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.

Given l || m and a || b,

∠𝑥 = 100° (corresponding angle)

☛ Check: NCERT Solutions for Class 7 Maths Chapter 5

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

Summary:

The value of x in each of the following figures if l || m is (i) ∠𝑥 = 70°, (ii) ∠𝑥 = 100°

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