Respuesta :

Answer:

C.72

Step-by-step explanation:

angle XYZ is an inscribed angle and arc XZ is the arc it intercepts

If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle

Hence, angle XYZ * 2= arc XZ

If Angle XYZ = 36

then 36 * 2 = arc XZ

36 * 2 = 72

hence the answer is C

The measure of arc is 72 degree, the correct option is C.

What is an arc?

An arc is formed by two radii and their intercepted part on the circumference.

According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.

The angle subtended by arc XZ on the circumference is 36 degree.

The angle subtended by the arc at the center is = 2 * 36 = 72 degree.

The arc subtended by the arc at the center of the circle is the measure of the arc.

To know more about Arc

https://brainly.com/question/18741430

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