Question

In the given figure, O is the centre of the circle and chord AB : chord CD = 3 : 5. If angle AOB = 60°, angle COD is equal to:

पर्याय

• 60°

• 120°

• 90°

• 100°

Answer 1

100°

Explanation:

Given,

Chord AB : Chord CD = 3 : 5

∴ ∠AOB : ∠COD = 3 : 5

⇒ 60° : ∠COD = 3 : 5

⇒ `(60°)/(∠COD) = 3/5`

⇒ ∠COD = `(60° × 5)/3 = (300°)/3`​ = 100°