Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.2 - More Angle Measures in the Circle - Exercises - Page 287: 30

Answer

m$\angle$1=60$^{\circ}$ m$\angle$2=120$^{\circ}$

Work Step by Step

Let x equal the measure of an arc between two vertexes of the hexagram. x=$\frac{360}{6}$ x=60$^{\circ}$ m$\angle$1=.5(2x) m$\angle$1=.5(120) m$\angle$1=60$^{\circ}$ m$\angle$2=.5(3x+x) m$\angle$2=.5(240) m$\angle$2=120$^{\circ}$
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