Answer : C) 72°
The angle measure we’re looking for is an inscribed angle, this means it lies on the arc and it’s going to be exactly one half the value of the arc directly across from it (arc XZ).
To find the value of XZ you add 108 + 108 because the arcs XY and YZ have the same value. This = 216.
We then subtract 360 - 216 to find arc XZ, because 360° is the full measure of a circle.
360 - 216 = 144
Then divide by 2
144/2 = 72.
