Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter P - Preliminary Concepts - P.3 - Informal Geometry and Measurement - Exercises P.3 - Page 25: 48

Answer

X=42, y= 25

Work Step by Step

Since the measure of angle 1 and the measure of angle 2 add up to the measure of angle RSV, it follows: $$ x+y=67 $$ We are told that: $$ x-y=17 $$ So: $$ x=y+17$$ Thus, it follows: $$ 2y+17 =67 \\ 2y = 50 \\ y=25$$ From this, it follows: $$ x=y+17 \\ x=25+17 \\ x= 42$$
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