Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.1 - Angles and Polygons - Exercise - Page 388: 23

Answer

$x=15^o$.

Work Step by Step

We know that $\angle 1$ and $\angle4$ are supplementary, so $$\angle 1+\angle 4=180 \Longrightarrow 4x+55+10x-85=180 \Longrightarrow 14x=210$$ and hence $x=15^o$.
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