Question

123 degree 80 degree + degree 5x degree 85 degree find AOB BOC
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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°