Respuesta :

Answer:  x = 90

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Explanation:

The arc measure is some unknown number x, so is the angle formed by the tangents that form based on this arc. The arc and angle add to 180, so,

x+x = 180

2x = 180

2x/2 = 180/2

x = 90

A right angle forms if we were to draw segments from the center of the circle to the points of tangency. We have a square forming if we do so. Recall that the points of tangency have the radius and tangent segments meet up at a 90 degree angle.

The value of x will be 90 degrees. Then the correct option is D.

What is a circle?

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

The figure is shown below.

We know that the tangent and radius at the periphery of the circle make 90 degrees.

And the sum of the angle of the quadrilateral will be 360 degrees. Then the value of x will be

x° + 90° + x° + 90° = 360°

                       2x° = 180°

                         x° = 90°

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

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