Question

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

Answer 1

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

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

So the correct option is B.