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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:

abidemiokin

The equation is correct regarding the measure of ∠XOY is

m<XOY = 1/2(arc b - arc d)

Circle geometry

Using the theorem that states that angle at the vertex is equal to half of the difference of its intercepted arcs.

Given the following parameters

  • m<XOY
  • arc A
  • arc B

Differnce of interceptd arcs = (arc b - arc d)

m<XOY = 1/2(arc b - arc d)

Hence the equation is correct regarding the measure of ∠XOY is

m<XOY = 1/2(arc b - arc d)

Learn more on circle geometry here: https://brainly.com/question/24375372

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