Question

Which equation could be used to solve for the measure of angle O?

a. x + z = 180
b. x + y = 180
c. x - (y + z) = 360
d. x + y + z = 360

Answer 1

Well, it's good to have Geometry theorems to help us out.

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

Does that help?

Answer 2

The measure of angle O is x.

x + z = 180 because of the theorem.

I don't know about these other options. No second option looks attractive to me.

So, if I were answering, I would go with A and vigorously support that answer if it is marked incorrect.

Answer 3

ok thank you!

Answer 4

You're welcome.