Question

Given ∠POR = 3x and ∠QOR =2x+10°. If ∠POQ is a straight line, then the value of x is
A. 30°
B. 34°
C. 36°
D. None of these

Answer 1

Given ∠POR = 3x and ∠QOR =2x+10°. If ∠POQ is a straight line, then the value of x is  34°

Option B is correct.

Given,

∠ POR = 3x

∠ QOR = 2x + 10°

∠ POQ is a straight line

⇒∠ POQ = 180°

But, we have,

∠ POR + ∠ QOR = ∠ POQ

3x + 2x + 10° = 180°

3x + 2x = 180° - 10°

5x = 170°

x = 34°