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If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.

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If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.
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Given : A cyclic quadrilateral `ABCD` in which `AD =BC`.
To prove: `AC=BD`
Proof : `becauseAD=BC`
`rArr` Arc AD=ArcBC
Add are DC on both sides.
`Arc AD+ArcDC=ArcBC+ArcDC`
`rArrArcADC=Arc BCD`
`rArrAC=BD`
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