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Angle Subtended by an Arc of a Circle on the Circle and at the Center

In given figu...

Question

In given figure, $∠ A C B = 40^{\circ} .$ Find $∠ A O B .$

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Solution

We know in a circle the angle subtended by the chord at the center is twice the angle subtended by it at any point in the circle
Therefore,
$∠ A O B = 2 ∠ A C B = 80^{\circ}$

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Angle Subtended by an Arc of a Circle on the Circle and at the Center

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