Answer:
Option (B)
Step-by-step explanation:
By the theorem of the inscribed angle,
"An angle inscribed in a circle measures half of the central angle subtended by the same arc."
Since m(arc XY) = 52°
Angle subtended by the the arc at the center (Central angle) = m∠XWY = 52°
Measure of inscribed angle = m∠XZY
By theorem, m∠XZY = [tex]\frac{1}{2}(\angle XWY)[/tex]
m∠XZY = [tex]\frac{1}{2}(52)[/tex]
= 26°
Therefore, Option (B) will be the answer.
