Answer:
Option B. 72°
Step-by-step explanation:
Two chords WX and VZ intersect each other at a point Y.
mArc VX = 64°
mArc WZ = 152°
As we know angle ∠ VYX formed by two intersecting chords inside the circle can be measure by
m∠VYX = [tex]\frac{1}{2}(mVX + mWZ)=\frac{1}{2}(64+152)=\frac{216}{2}=108[/tex]
Since ∠VYX and ∠XYZ are supplementary angles.
So ∠VYX + ∠XYZ = 180
108 + ∠XYZ = 180
∠XYZ = 180 - 108 = 72°
Option B. 72° is the answer.
