Question

What is the measure of angle XYZ?

Answer 1

Theorem: An angle formed by two chords intersecting within a circle has measure half that of the arc it cuts off plus half that cut off by the arc of its vertical angle.

Answer 2

I am rusty with arc degrees and angles for geometry, but Is it not just 86 degrees?

Answer 3

That's confusing me a tad bit. And no it's not.. I'm looking for the inner angle, not the arc.

Answer 4

It is confusing. That's why we need a diagram.

Answer 5

Si, si

Answer 6

This is a better study tool.

Answer 7

That makes more sense, I think.

Answer 8

Oh. Now I feel blonde. We worked that theorem out yesterday. I'm gonna write this stuff down from now on. Thanks. So the answer would be 65?

Answer 9

Let me check that 65.

Answer 10

I got 65.

Answer 11

Me too. So that's the answer. Thank you very much, sir!

Answer 12

You are welcome. Glad to help.