Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 2 - Section 2.3 - Proving Lines Parallel - Exercises - Page 101: 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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