Answer:
[tex]\displaystyle 2[/tex]
Step-by-step explanation:
Corresponding Angles are parallel and congruent, thereby set both expressions equivalent to each other:
[tex]\displaystyle 101° = [-8x + 117]° \hookrightarrow \frac{-16}{-8} = \frac{-8x}{-8} \\ \\ \boxed{2 = x}[/tex]
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