Question

What is the value of x?
30
45
55
60

Answer 1

Option (b) is correct.

x = 45°

Explanation:

Given: Figure

We have to find the value of x

Consider the given figure.

Since, SRV is a straight line and angle on straight line is 180°

Thus,

∠SRV = 180°

also, ∠SRV can be written as ∠SRT + ∠TRV

⇒ ∠SRT + ∠TRV = 180°

x + 3x = 180

⇒ 4x = 180

Divide both side by 4, we have,

x = 45°

Answer 2

`x=45^(\circ)`

Explanation:

From the given figure, it can be seen that ∠TRS=x° and ∠TRV=3x°.

Since, SV is a straight line, thus ∠TRS and ∠TRV forms a linear pair, therefore

`{\angle}TRS+{\angle}TRV=180^(\circ)`

`x^(\circ)+3x^(\circ)=180^(\circ)`

`4x^(\circ)=180`

`x=(180)/(4)`

`x=45^(\circ)`

Therefore, the value of x is 45°.