29. Prove that "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"
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The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. The proof of this theorem is quite simple, and uses the exterior angle theorem – an exterior angle of a triangle is equal to the sum of the opposite interior angles.
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