Question

What is the measure of XYZ shown in the diagram below?

Answer 1

Answer: A.                                                                                                          

Explenation: Apex                                

Answer 2

As per the outside angle theorem of a circle, the value of ∠XYZ  is 69°

What is the outside angle theorem of a circle?

"The Outside Angles Theorem states that the measure of an angle formed by two secants, two tangents, or a secant and a tangent from a point outside the circle is half the difference of the measures of the intercepted arcs."

Given, $XZ =$ 172°, $ST =$ 34°

Therefore, ∠XYZ

$= \frac{(XZ - ST)}{2}$

$= \frac{(172 - 34)}{2} degrees\\ = \frac{168}{2} degrees\\ = 69 degrees$

Learn more about the outside angle theorem of a circle here: https://brainly.com/question/10541581

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