patrickcreeper1000
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Circle P is shown. Tangents X Y and Z Y intersect at point Y outside of the circle to form an angle with measure 72 degrees. The first arc formed has a measure of x degrees, and the second arc has a measure of (360 minus x) degrees.
In the diagram of circle P, m∠XYZ is 72°. What is the value of x?

108°
144°
216°
252°

Respuesta :

Answer:

108 I believe

Step-by-step explanation:

In the diagram of circle P, if m∠XYZ is 72° then the value of x is; 108°

How to find the angles inside a circle?

From angles of arcs formed by tangents inside a circle, we can say that;

the angle x formed by the first arc will be a supplementary angle to 72°.

This means that due to the rule of supplementary angles, we can say that;

x + 72° = 180°

x = 180° - 72°

x = 108°

Read more about cyclic angles at; https://brainly.com/question/24368895

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