Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - 2-6 Proving Angles Congruent - Practice and Problem-Solving Exercises - Page 125: 16


x=15 The angles each measure 25.

Work Step by Step

Because we know that vertical equations have the same measure, we can write an equation and solve for x. $x+10=4x-35\longrightarrow$ $x+45=4x\longrightarrow$ addition property of equality $45=3x\longrightarrow$ subtraction property of equality $15=x\longrightarrow$ division property of equality Since the angles have the same measure, you can use either term and substitution to find the measures of both angles. $x+10=15+10=25$ $4x-35=4(15)-35=60-35=25$
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