Q. 124.3( 248 Votes )

Prove that a cycl

Answer :

Given that: ABCD is a cyclic quadrilateral


We have to prove that: ABCD is a rectangle


Proof: 1 + 2 = 180o (Sum of opposite angles of a cyclic parallelogram)


We also know that, opposite angles of a cyclic parallelogram are equal


Therefore,


1 = 2


1 + 1 = 180o


1 = 90o


As,


One of the interior angle of the parallelogram is 90o


Therefore, ABCD is a rectangle

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