176k views
5 votes
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 below?S36°TХ114"ZO A. 78O B-example-1
User Ahasbini
by
8.2k points

1 Answer

5 votes

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.

User Davemundo
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories