Question

Prove that a cyclic parallelogram is a ractangle

Answer 1

In a cyclic quad. ( quadrilateral ) the sum of the opp. ( Opposite ) angles is 180 degree.
In a ||gm ( Parallelogram ) , the opp. angles are equal.
So if a ||gm has to be cyclic, it's opp. angles have to be equal and the sum should be 180 degree.
=> One angle of a ||gm + it's opp. angle = 1800 .
Let us say a cyclic ||gm has an angle = x0 .

SO, x + angle opp. to x = 180 degree.
As the opp. angles in a ||gm are equal, there fore let us substitute the opp. angle of the ||gm with x.

SO, x + x = 180o
= 2x = 180o
=> x = 180 / 2
=> x = 90o

Now any ||gm with 1 angle = 90o is a Rectangle. Therefore Each Cyclic ||gm is a rectangle


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Answer 2

Hope this is the brainliest answer and sorry for late answer.