Question

Prove that angles in same segment are equal.

Answer 1

Angles which are in the same segment are equal, i.e. anglessubtended (made) by the samearc at the circumference areequal, ... Opposite angles in a cyclic quadrilateral add up to 180°, Alternate SegmentTheorem, i.e. that the anglebetween a tangent and its chord is equal to the angle in the 'alternate segment'.

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