Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises: 10a

Answer

60$^{\circ}$

Work Step by Step

$\angle$STR=90 because it is inscribed in a semicircle. Since ST is equal to half SR (the hypotenuse of STR), then STR is a 30 60 90 triangle. Arc ST=2$\angle$SRT Arc ST=2(30)=60$^{\circ}$
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