Elementary Geometry for College Students (5th Edition)

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

Chapter 6 - Section 6.2 - More Angle Measures in the Circle - Exercises - Page 298: 29

Answer

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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