Question

In the below fig, POS is a line, find x.

Answer 1

Since `∠`POQ and `∠`QOS are linear pairs

`∠`POQ + `∠`QOS = 180°

⇒ `∠`POQ + `∠`QOR + `∠`SOR = 180°

⇒ 60° + 4x° + 40° = 180°

⇒ 4x° = 180° -100°

⇒ 4x° = 80°

⇒ x = 20°