Question

Read each question carefully and show work. Put your answer in the provided space._______ 1. Find the measure in degree of XZ_______ 2. Find the measure in degree of XYZ

Answer 1

XWZ is a central angle; the measure of the arc intersected by a central angle is equal to the measure of the arc.

Intersected arc XZ:

$mXZ=115°$

The total circumference (total arc) in a circle is 360°, use it and the measure of arc XZ to find the measure of arc XYZ:

$\begin{gathered} mXYZ+mXZ=360 \\ \\ mXYZ=360-mXZ \\ mXYZ=360-115 \\ mXYZ=245 \end{gathered}$Then, the measure of XZ is 115° and the measure of XYZ is 245°