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Circle O is shown. Tangents X Z and Y Z intersect at point Z outside of the circle. The first arc formed is arc b, and the second arc formed is arc a. Which equation is correct regarding the diagram of circle O? m∠XZY = One-half(a + b) m∠XZY = One-half(a – b) m∠XOY = One-half(a + b) m∠XOY = One-half(a – b)

Respuesta :

Answer:

m∠XZY = One-half(a – b)

Step-by-step explanation:

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The equation that is correct regarding the diagram of Circle O is; m∠XOY =  One-half(a – b)

How to find the angle of a cyclic segment?

From the cyclic angle theorem, we know that the angle at the vertex is equal to half of the difference of its intercepted arcs.

We are given;

m<XOY

arc A

arc B

Difference of intercepted arcs = (arc b - arc d)

Thus, applying the theorem above is;

m∠XOY =  One-half(a – b)

Read more about Cyclic segment angle at;https://brainly.com/question/24368895

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