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$
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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 - Page 99: 49
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