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What is the measure of ZXYZ shown in the diagram below?S36°TХ114"ZO A. 78O B. 39OC. 36ОD. 75

What Is The Measure Of ZXYZ Shown In The Diagram BelowS36TХ114ZO A 78O B 39OC 36ОD 75 class=

Sagot :

In order to calculate the measure of angle XYZ, we can use the following property of secant lines to a circle:

[tex]\begin{gathered} XYZ=\frac{1}{2}(XZ-ST) \\ \text{XYZ}=\frac{1}{2}(114-36) \\ \text{XYZ}=\frac{1}{2}\cdot78 \\ \text{XYZ}=39\degree \end{gathered}[/tex]

So the correct option is B.

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