Question

prove that the angle of same segment are equal​

Answer 1

Answer:

'Angles in the same segment are equal'

The 2 angles D and E are both sitting on the same piece of the circle, BC. ... It is also clear that A, the 'angle at the centre' BAC, is 'looking at' the same arc BC as the angles D and E. So Theorem 1 applies: 'the angle at the centre is twice the angle at the circumference';

Answer 2

Answer:

Angles which are in the same segment are equal, i.e. angles subtended (made) by the same arc at the circumference are equal, ... Opposite angles in a cyclic quadrilateral add up to 180°, Alternate Segment Theorem, i.e. that the angle between a tangent and its chord is equal to the angle in the 'alternate segment

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