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Feliz [49]
3 years ago
13

If W is the center of the circle below and measures 52°, what is the measure of XZY?

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

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 = \frac{1}{2}(\angle XWY)

m∠XZY = \frac{1}{2}(52)

             = 26°

Therefore, Option (B) will be the answer.

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