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In a cyclic trapezium ABCD,side AB is pa...

In a cyclic trapezium ABCD,side AB is parallel to side DC. Prove that :
side AD =side BC.

Text Solution

Verified by Experts

Join AC.
`AB|\ |DC` and `AC` is a transversal.
`therefore angleACD=angle BAC`
`rArrArcAD=ArcBC`
We know that equal arc in circle cut equal chords.
`therfore` chord AD=chord BC
side AD = side BC.
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