equal arcs of a circle substained equal angles at the center
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equal arcs of a circle subtend equal angles at the centre. In the figure, Arc AB = Arc CD & thus, it is observed that ∠1 =∠2.. Theorem 8: 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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Congruent arcs (or equal arcs) of a circle subtend equal angles at the centre. Therefore, the angle subtended by a chord of a circle at its centre is equal to the angle subtended by the corresponding (minor) arc at the centre.
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