Elementary Algebra

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

Appendix - Extra Word Problems - Page 525: 48


62 degrees, 118 degrees

Work Step by Step

If two angles are supplementary, their sum is $180$ degrees. Also, since the difference between their measures is $56$ degrees, one angle is $56$ degrees greater than the other. If we let the smaller unknown angle be $x$ degrees, the larger unknown angle must be $x+56$ degrees. $x+(x+56)=180$ $2x+56=180$ $2x=180-56$ $2x=124$ $x=\frac{124}{2}$ $x=62$ Therefore, one of the angles is $62$ degrees while the other angle is $62+56=118$ degrees.
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