Elementary Geometry for College Students (5th Edition)

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

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises: 49

Answer

84 degrees

Work Step by Step

We know that angle Q is equal to $b-a$, meaning that $b-a$ is equal to 42 degrees. Because all triangles add to 180 degrees, we obtain: $ 180 = 180 - 2b + 2a + M \\ 2b - 2a = M \\ 2(b-a) = M \\ M = 2(42) = 84$
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