Question

Given a pentagon ABCDE. If the quadrilaterals ABCD and BCDE are cyclic, prove that the pentagon is also cyclic​

Answer 1

Answer:

In cyclic quadrilateral BCDE, we have

∠BED+∠BCD=180

0

∠BED+120

0

=180

0

[∠BCD=120

∘

as it is a cyclic pentagon]

Thus, ∠BED=60

0