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

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If W is the center of the circle below and measures 52°, what is the measure of XZY-example-1
User Brigadier
by
4.8k points

2 Answers

1 vote

Answer:

ANSWER IS 26 DEGREES

Explanation:

It’s correct <3

User Oktapodia
by
3.6k points
4 votes

Answer:

Option (B)

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 =
(1)/(2)(\angle XWY)

m∠XZY =
(1)/(2)(52)

= 26°

Therefore, Option (B) will be the answer.

User Traggatmot
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4.1k points