Elementary Geometry for College Students (6th Edition)

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

Chapter 1 - Section 1.5 - Introduction to Geometric Proof - Exercises - Page 43: 32

Answer

Statements 1. $\angle$TSW with $\overline{SU}$ and $\overline{SV}$ 4. m$\angle$TSW=m$\angle$TSU+m$\angle$USV+m$\angle$VSW Reasons 1. Given 2. Angle Addition Postulate 3, Angle Addition Postulate

Work Step by Step

Statement 1 is given in the problem. Statements 2 and 3 can be proven by different applications of the Angle Addition Postulate with the given information. Statement 4 is the desired conclusion that can reached using the Substitution Property of Equality.
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