## Elementary Algebra

Published by Cengage Learning

# Chapter 11 - Additional Topics - 11.2 - 3 x 3 Systems of Equations - Problem Set 11.2 - Page 484: 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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