Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.2 - 3 x 3 Systems of Equations - Problem Set 11.2: 19

Answer

A is 120 degrees, B is 24 degrees, and C is 36 degrees

Work Step by Step

We are told: $ A = 5B \\ B+ C = A - 60 $ Since it is a triangle, we know: $ A + B + C =180 $ Substituting $B+C = A -60$, we obtain: $ A + A - 60 = 180 \\ A = 120$ Thus, we find: $ A = 5B \\ B = \frac{120}{5} = 24$ Finally, we find C: $ C = 180 - A -B = 180 - 120 - 24 = 36$
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