Question

Solve for the value of x.
10x-5
8x+9

Answer 1

`\displaystyle 7 = x`

Explanation:

These are alternate interiour angles, and the theorem states that they are congruent, so set both expressions equivalent to each other:

`\displaystyle 10x - 5 = 8x + 9 \Rightarrow (-14)/(-2) = (-2x)/(-2) \\ \\ \boxed{7 = x}`

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