Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-5 Exploring Angle Pairs - Got It?: 1

Answer

a) true b) false c) true

Work Step by Step

a) $\overset\longrightarrow {FA}$ and $\overset\longrightarrow {FD}$ are opposite rays. $\overset\longrightarrow {FC}$ and $\overset\longrightarrow {FE}$ are also opposite rays, so $\angle AFE$ and $\angle CFD$ are vertical angles. b) $m\angle BFC+m\angle DFE=28+118=146$ The sum of the measures is not 180, so the angles are not supplementary. c) $\angle BFD$ and $\angle AFD$ share vertex F and side $\overset\longrightarrow{FB}$, but have no interior points in common, so they are adjacent.
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