Elementary Geometry for College Students (7th Edition)

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


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.
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