Elementary Geometry for College Students (5th Edition)

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

Chapter 1 - Section 1.6 - Relationships: Perpendicular Lines - Exercises: 12

Answer

Statements 2. m$\angle$1=m$\angle$2 and m$\angle$3=m$\angle$4 4. m$\angle$2+m$\angle$3=90$^{\circ}$ 6. $\angle$1 and $\angle$4 are complimentary Reasons 1. Given 3. Given 5. Substitution Property of Equality

Work Step by Step

Statements 1 and 3 are given in the problem. Statement 2 is proven using the definition of congruent angles. Statement 4 is made by applying the definition of complimentary angles. Use substitution to prove statement 5. Finally use the definition of complimentary angles again to come to the desired conclusion in statement 6.
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