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A B C D is a parallelogram. The circle t...

`A B C D` is a parallelogram. The circle through `A ,Ba n dC` intersects `C D` produced at `E ,` prove that `A E=A Ddot`

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ABCD is a parallelogram
`/_ADC=/_ABC`
Point E also lies on circle ABCE is a cyclic quadrilateral
`/_AEC+/_ABC=180^0`
`/_AEC=180-/_ADC`
`/_AED=/_ADC`
`/AED=/_ADE`
In`/_ADE`
...
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