Question

prove that in a cyclic trapezium , the non parallel sides are equal​

Answer 1

Answer:

hi

Step-by-step explanation:

Question :- Prove that in a cyclic trapezium the non parallel sides are equal.

Answer :- Let ABCD be the cyclic trapezium in which AB||CD.

We have to prove that AD = BC

Since AB||CD and BD is the transversal, we have

∠ABD = ∠BDC [Alternate angles]

Also chord AD subtends ∠ABD and chord BC subtends ∠BDC on the circle at B and D respectively.

Also ∠ABD =∠BDC (proved above)

Therefore, AD = BC