Geometry: Common Core (15th Edition)

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

Chapter 4 - Congruent Triangles - 4-7 Congruence in Overlapping Triangles - Practice and Problem-Solving Exercises - Page 271: 30



Work Step by Step

A pair of congruent angles are marked on the triangle, and the measure of one angle, 37, is already given. Therefore, the measure of the other angle is also 37, because they are congruent angles. Now all you have to do is solve for 'x': (The Triangle Sum Theorem applies to this problem). 1) Start by writing out the equation x+37+37=180 2) Simplify by combining like terms: 37+37=74 3) Subtract 74 from each side: x+74=180 180-74=106 4) The answer is x=160.
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