Respuesta :

Hrishii

Answer:

D. 22.5

Step-by-step explanation:

By the property of intersecting tangent and secant outside of the circle, we have:

x° = 1/2[(4x+5)° - 50°]

2x° = [(4x+5)° - 50°]

2x° = (4x-45)°

2x = 4x - 45

45 = 4x - 2x

45 = 2x

x = 45/2

x = 22.5

The measure of the variable x will be 22.5°. Then the correct option is D.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that half of the difference between the angle (4x + 5)° and 50° will be equal to x°. Then the equation will be

x = [4x + 5 - 50] / 2

Simplify the equation, then we have

2x = 4x - 45

2x = 45

x = 22.5°

The measure of the variable x will be 22.5°.

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ5

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