Math, asked by Anonymous, 1 year ago

yoo guyz ❤❤

PROVE THAT A CYCLIC PARALLELOGRAM IS A RECTANGLE ?☺

NO SPAM ^_^

Answers

Answered by siddhartharao77
2

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.


Hope it helps!

Attachments:
Answered by sachin11211
2
Here is your answer dear⤴⤴⤴⤴⤴⤴



☺☺☺☺☺




I hope it will help you .

❤❤❤❤❤❤
Attachments:
Similar questions