Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 1 - Section 1.2 - Informal Geometry and Measurement - Exercises - Page 19: 48

Answer

x=42$^{\circ}$ y=25$^{\circ}$

Work Step by Step

Given: x+y=67$^{\circ}$, x-y=17$^{\circ}$ Isolate variable: x=17$^{\circ}$+y Use Substitution: (17$^{\circ}$+y)+y=67$^{\circ}$ 2y=50$^{\circ}$ y=25$^{\circ}$ Substitute Y to find X: x=17$^{\circ}$+25$^{\circ}$ x=42$^{\circ}$
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