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# In the Following Figure, O is Centre of the Circle and δAbc is Equilateral. Find: (I) ∠Adb, (Ii) ∠Aeb. - Mathematics

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#### Question

In the following figure, O is centre of the circle and ΔABC is equilateral.

#### Solution

Since ∠ACBand ∠ADBare in the same segment,
Join OA and OB
Here, ∠AOB =2 ∠ACB = 2×60° = 120°
∠AEB=1/2 Reflex ( ∠AOB) = 1/2 (360°- 120°) 120°
(Angle at the centre is double the angle at the circumference subtended by the same chord)

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