Question

In the given figure, find ∠AOB and ∠BOC.

Answer 1

In the figure,

5x + x + 80° + 123° + 85° = 360° ....(Angles at a point)

⇒ 6x + 80° + 123° + 85° = 360°

⇒ 6x + 288° = 360°

⇒ 6x = 360°− 288° = 72°

⇒ x = `(72°)/6` = 12°

Now, ∠AOB = 5x = 5 × 12° = 60°
and ∠BOC = x = 12°