Question

Can someone please help me with this question? Thanks if you!

Answer 1

Answer: D) 93

The red arc that spans from point X to point Z is 186 degrees, half of which is 186/2 = 93 and this is equal to the inscribed angle XYZ. I'm using the inscribed angle theorem which says that the arc measure is two times the inscribed angle that cuts off the arc.

Answer 2

Faulty question in my opinion. See below.

Explanation:

The central angle = the arc angle in degrees. So the central angle is 186 degrees.

The angle XYZ is 1/2 174 87 because it is 1/2 the measurement of the minor arc which is 174. That answer is not there unfortunately. The central angle must be on the same side as the arc measurement. The arc angle is on the opposite side of XZ. I would ask your instructor about this one.