Question

Will medal!!

Quadrilateral BCDE is inscribed inside a circle as shown below. Write a proof showing that angles C and E are supplementary.

Answer 1

How do I prove that the sum of opposite angles in a quadrilateral are supplementary? What theorems would I use?

Answer 2

try using arcs...

Answer 3

@sidsiddhartha You might know this?

Answer 4

u can prove it by using arcs

Answer 5

how would I do that?

Answer 6

here
arc(CDE)=2*angle B
and arc(EBC)=2* angle D
NOW
arc(CDE)+arc(EBC)=360
so 2[angleB+angleD]=360
angleB+angleD=180
so B and D are supplementary.
similarly u can prove C an E are supplementary.

Answer 7

that is the pic i drawn it wrong sorry