alo is the centre of the cixde and L ABC = 45°
find L AOC
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- Since angle subtended by an arc at the centre of the circle is double the angle subtended it at any point on the remaining part of the circle .
- Since angle subtended by an arc at the centre of the circle is double the angle subtended it at any point on the remaining part of the circle .∴ ∠AOC = 2∠ABC = 2 × 45° = 90°
- Since angle subtended by an arc at the centre of the circle is double the angle subtended it at any point on the remaining part of the circle .∴ ∠AOC = 2∠ABC = 2 × 45° = 90°Hence, OA ⟂ OC.
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