Elementary Geometry for College Students (5th Edition)

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

Chapter 2 - Section 2.3 - Proving Lines Parallel - Exercises - Page 92: 30

Answer

x=4$^{\circ}$

Work Step by Step

Angles 2 and 8 are same side exterior angles so they are supplementary. m$\angle$2+m$\angle$8=180 (x$^{2}$-1)(x+1)+185-x$^{2}$(x+1)=180 x$^{3}$+x$^{2}$-x-1+185-x$^{3}$-x$^{2}$=180 -x=-4 x=4
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