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A B C D is a cyclic quadrilateral in w...

`A B C D` is a cyclic quadrilateral in which `B A\ a n d\ C D` when produced meet in `E\ a n d\ E A=E Ddot` Prove that: `A D B C` (ii) `E B=E C`

Text Solution

Verified by Experts

`EA=ED`
In /_\EAD, `/_EAD=/_EDA`(Angles opposite to equal sides)
In a cyclic quadrilateral `ABCD`, Ext.`/_EAD=/_C`
Similarly , Ext.`/_EDA=/_B`
`/_EAD=/_EDA`
`/_B=/_C`
`EC=EB`(Sides opposite to equal angles)
`/_EAD=/_B`
But these are corresponding angles.
`AD||BC`
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