Question

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

Answer 1

@ganeshie8

Answer 2

@zepdrix

Answer 3

@ganeshie8

Answer 4

cmon this is my last one

Answer 5

Join \(BD\) and \(EC\)

Answer 6

thhen what

Answer 7

In \(\triangle BCD\) :
\(\angle BCD + \angle CBD + \angle CDB = 180\)

inscribed angles are congruent :
\(\angle CBD \cong \angle CED \)
\(\angle CDB \cong \angle CEB \)

By substitution :
\(\angle BCD + \angle CED + \angle CEB = 180\)

By angle addition postulate :
\(\angle BCD + \angle BED = 180\)

Answer 8

is that the answer

Answer 9

^^thats the proof, atleast go thru it once ?

Answer 10

it will make sense if u try