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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