Transcript In the figure below, X is on AY , XYZ measures 45°, and measures 130°.

In the figure below, X is on AY , XYZ measures 45°, and
measures 130°. What is the measure of XZY ?
A. 40O
B. 60O
C. 85O
D. 95O
E. 105O
AXZ
The correct answer is H.
Explanation:
AXZ is an exterior angle of XZY.
By the exterior angle theorem, 45o + m(XZY) = 130o, so
m( XZY) = 130o - 45o = 85o.
Or, by definition of supplementary angles, m( YXZ) + 130o = 180o, so m(YXZ)
= 180o - 130o = 50o.
Then for XZY, the angle sum is 45o + 50o + m(XZY),
and 180o = 95o + m(XZY) and m(XZY) = 180o - 95o = 85o.