Question

answer this question no.9

Answer 1

Answer:

24°, 72°, 48°

Step-by-step explanation:

In cyclic quadrilateral ABCE,

∠ABC + ∠AEC = 180°

⇒ 132 + ∠AEC = 180°

⇒ ∠AEC = 48°

(i)

∠AEB = (1/2) * ∠AEC

          = (1/2) * 48

          = 24°.

So, ∠AEB = ∠BEC = ∠CED = 24°.

(ii)

∠AED = ∠AEB + ∠BEC + ∠CED

          = 24 + 24 + 24

          = 72°.

(iii)

∠COD = 2 * ∠CED

           = 2 * 24

           = 48°.

Hope it helps!