prove that cyclic pallogram is a rectangle
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Step-by-step explanation:
Given: Let ABCD be a cyclic parallelogram
To prove: ABCD is a rectangle
Proof: A rectangle is a parallelogram with one angle 90⁰
So, we have to prove angle 90°
Since ABCD is a parallelogram
∠A=∠C ( Opposite angles of parallelogram are equal) (1)
In cyclic parallelogram
∠A+∠C=180°(Sum of opposite angles of a cyclic quadrilateral is 180°)
∠A+∠A=180°(From(1))
2∠A=180°
∠A=180°/2=90°
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