Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 6 - Section 6.2 - More Angle Measures in the Circle - Exercises - Page 295: 18a

Answer

Angles R and T are supplementary.

Work Step by Step

The inscribed angles R and T intercept two arcs whose sum makes up a whole circle, which is 360$^{\circ}$. Since the measure of an inscribed angle is equal to half the measure of its intercepted arc, the sum of R and T must be half the measure of the sum of their arcs, which is 360/2=180$^{\circ}$. When the sum of the measures of two angles is equal to 180, they are supplementary angles.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.