Question

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

Answer 1

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.