Answer:
m∠XZY = 122°
m∠XWY = 61°
Step-by-step explanation:
From the picture attached,
A circle has been given with center as Z.
∠XZY is a central angles subtended by the arc XY,
Therefore, measure of angle XZY will be equal to measure of ∠XZY.
m(∠XZY) = m(arc XY) = 122°
By another property of the circle,
"Inscribed angle measures the half of the central angle intercepted by the same arc."
Therefore, m∠XWY = [tex]\frac{1}{2}(\angle XZY)[/tex]
= [tex]\frac{1}{2}(122)[/tex]
= 61°
