In the given figure, 'G' is the centre of the circle. Find the angle ACB when ∠AGB = 132°
66°
Given:
The angle subtended by a chord on the major arc of a circle is 132°.
Concept used:
The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
The major arc for the AB chord is ACB.
∠AGB = 132°
According to the concept,
∠AGB = 2 × ∠ACB
⇒ ∠ ACB = 132°/2
⇒ ∠ ACB = 66 °
The angle ACB is 66 °
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