. The angle measures of a triangle are shown in the diagram. What is the value of x?
1 answer:
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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.