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PROVE THAT A CYCLIC PARALLELOGRAM IS A RECTANGLE ?☺
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Answer:
Cyclic parallelogram is a rectangle.
Step-by-step explanation:
(i) ∠A + ∠C = 180° {Opposite angles of cyclic quadrilateral is 180°}.
(ii) ∠A = ∠C {Opposite angles of a parallelogram is equal}.
From (i) & (ii)
⇒ ∠A + ∠A = 180°
⇒ 2∠A = 180°
⇒ ∠A = 90°
So,
∠A = ∠C = 90°
∠B = ∠D = 90°
Thus, all angles of a a parallelogram are right angles.
Therefore, ABCD is a rectangle.
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