# Chapter 2 - Section 2.3 - Proving Lines Parallel - Exercises - Page 88: 29

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

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