Will medal!!

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

Question

Will medal!!

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

abbles · Answer

attachment

abbles · Answer

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

anonymous · Answer

try using arcs...

abbles · Answer

@sidsiddhartha  You might know this?

sidsiddhartha · Answer

u can prove it by using arcs

abbles · Answer

how would I do that?

sidsiddhartha · Answer

|dw:1400833695572:dw|
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.

sidsiddhartha · Answer

|dw:1400834231403:dw|
that is the pic i drawn it wrong sorry