Angle in the same sagment and standing on the same chord are always equal
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The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
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'Angles in the same segment are equal'
('Subtending the same minor arc BC' is a more mathsy way of putting it!). In the second diagram, with the chord BC drawn, it is more obvious that angle D and E are in the same segment. ... So Theorem 1 applies: 'the angle at the centre is twice the angle at the circumference';
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