Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle O? What is the measure of angle O? You must show all work and calculations to receive credit.

Question

anonymous · Answer

attachment

directrix · Answer

Theorem: If a quadrilateral is inscribed in a circle, then opposite angles of the quadrilateral are supplementary.

anonymous · Answer

I already tried making both sides equal to each other and got 
x = y + 4

anonymous · Answer

My equation was
4x+4=4y+8

anonymous · Answer

I didn't know how to go on from there

directrix · Answer

The theorem I just posted does not say that sides are the same.

It says that opposite angles are supplementary.

directrix · Answer

Don't look at sides. Look at angles.

anonymous · Answer

I'm looking at the different variables, the fact that there's both an x and a y. It's throwing me off.

directrix · Answer

Angles O and Q are opposite angles.

|dw:1444784255791:dw|