Just wanna make sure that I got this right:

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

My answer:
In BCD:
BCD + CBD + CDB = 180 degrees

The inscribed angles are congruent so:
CBD = CED
CDB = CEB

By Substitution:
BCD + CED + CEB = 180 degrees

By angle addition postulate :
angle C + angle E = 180 degrees

Question

Just wanna make sure that I got this right:

Quadrilateral BCDE is inscribed inside a circle as shown below. Write a proof showing that angles C and E are supplementary.

My answer:
In BCD:
BCD + CBD + CDB = 180 degrees

The inscribed angles are congruent so:
CBD = CED
CDB = CEB

By Substitution:
BCD + CED + CEB = 180 degrees

By angle addition postulate :
angle C + angle E = 180 degrees

anonymous · Answer

This is the picture:

anonymous · Answer

@ParthKohli  Could you please help me out here? :)

alekos · Answer

That's all correct. well done!

alekos · Answer

I've checked the detail and it's all fine

alekos · Answer

It's too bad that no-one has helped you out before

anonymous · Answer

Thank you very much :)