Question

In the figure, ∠POR and ∠QOR form a linear pair. If 2x – y = 60°, find the values

of x and y.​

Answer 1

GIVEN :-

• ♧ 2x - y = 60°

SOLUTION :-

It is given that

2x - y = 60° .........(i)

Note

$\sf \: sum \: of \: all \: the \: angles \: of \: linear \: pair \: is \: 180$

Then

$\sf \: x \: + \: y = \: 180 \: \: \: ...(ii)$

Adding Eq. (i) and (ii)

We get

$\boxed{ \begin{array}{c} \tt 2x - y = 60\tt \\ \tt \: x \: + y = 180\tt \\ \dfrac{\qquad\qquad}{} \\ \tt \:3x = 240 \\ \dfrac{\qquad\qquad}{}\end{array}}$

$\implies \sf \: x = \frac{240}{3}$

$\sf \implies \: x = 80 \degree$

Putting x= 80° in eq. (ii)

$\sf \: 80 \: + \: y = 180$

$\sf \implies \: y = 100 \degree$

Hence. x = 80° and. y= 100°