Given ∠ POR = 3 x and ∠ QOR =2 x +10°. If ∠ POQ is a straight line, then the value of x is

Question

Given &#x2220; POR = 3 x and &#x2220; QOR =2 x +10&#xB0;. If &#x2220; POQ is a straight line, then the value of x is

Philoid · Accepted Answer

Given,

POQ is a straight line

∠POQ + ∠QOR = 180^o (Linear pair)

3x + 2x + 10^o = 180^o

5x = 170^o

x = 34^o