# Ex.5.2 Q4 Lines and Angles - NCERT Maths Class 7

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## Question

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

## Text Solution

(i) Reasoning:

There are two operations done in sequence. First, find the corresponding angle to $$110^\circ$$ i. e $$\angle y,$$ then by using Linear pair find the value of $$\angle x.$$

According to this model, the result $$\angle x + \angle y = 180^\circ.$$ Now, it’s a matter of finding value of $$\angle x.$$

(i) Steps:

Solve for $$x$$

Given $$l || m$$ and $$t$$ is transversal,

$$\angle y = 110^\circ$$ (Corresponding angle)

$$\angle x+\angle y = 180^\circ$$ (Linear pair)

$$\angle x = 180^\circ - 110^\circ$$

$$\angle x = 70^\circ$$

(ii) Reasoning:

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 corresponding angle will be equal to $$x.$$ Now, it’s a matter of finding measure of $$x.$$

Steps:

Solve for $$x$$

Given $$l || m$$ and $$a || b,$$

$$\angle x = 100^\circ$$ (corresponding angle)

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