The Student Room Group

Proof for a cyclic quadrilateral

"Prove that the sum of the opposite angles of a cyclic quadrilateral add up to 180 degrees"

Not sure how to prove this in a simple way, can anyone help please?
Reply 1
Draw a circle, with your cyclic quad inside. Call quad abcd and draw bOd where O is the centre of the circle.
What do you know about the angle bOd?
yep as the previous poster said.... draw a diagram. join the four points to the centre.

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