Question

if O is the centre of the circle, find the value of x . ​

Answer 1

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2<ACO = <AOB (by theorem - Angle subtanded by an arc at the centre is double the angle subtanded by it on the remaining part of the circle)

2<ACO = 60°

<ACO = 30°

<ACO + <CAO = <AOB (exterior angle property of a triangle)

30° + x = 60°

x = 30°