226k views
2 votes
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

Read each question carefully and show work. Put your answer in the provided space-example-1

1 Answer

2 votes

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°
User Wiggy
by
7.8k points

No related questions found

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