Answer
x=6$^{\circ}$
Work Step by Step
Angles 3 and 5 are same side interior angles so they are supplementary.
m$\angle$3+m$\angle$5=180
(x+1)(x+4)+16(x+3)-(x$^{2}$-2)=180
x$^{2}$+5x+4+16x+48-x$^{2}$+2=180
21x+56=180
21x=126
x=6
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
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: 29
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