If W is the center of the circle below and measures 52°, what is the measure of XZY?
1 answer:
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 = 
m∠XZY = 
= 26°
Therefore, Option (B) will be the answer.
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