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 296: 29


m$\angle$1=36$^{\circ}$ m$\angle$2=108$^{\circ}$

Work Step by Step

Let x equal the measure of an arc between two points of the pentagram. x=$\frac{360}{5}$ x=72$^{\circ}$ m$\angle$1=$\frac{x}{2}$ m$\angle$1=$\frac{72}{2}$ m$\angle$1=36$^{\circ}$ m$\angle$2=.5(2x+x) m$\angle$2=.5(144+72) m$\angle$2=108$^{\circ}$
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