Elementary Geometry for College Students (5th Edition)

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

Chapter 1 - Section 1.2 - Informal Geometry and Measurement - Exercises: 47

Answer

x=102$^{\circ}$ y=78$^{\circ}$

Work Step by Step

Given: x+y=180$^{\circ}$, x-y=24$^{\circ}$ Isolate variable: x=24$^{\circ}$+y Use Substitution: (24$^{\circ}$+y)+y=180$^{\circ}$ 2y=156$^{\circ}$ y=78$^{\circ}$ Substitute Y to find X: x=24$^{\circ}$+78$^{\circ}$ x=102$^{\circ}$
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