Question

Solve for x.
x + 14
5x - 74
x = [?]

Answer 1

22

Explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

Answer 2

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x + 14 = 5x - 74 (corresponding angles are equal to each other)

`x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ (88)/(4) = x \\ 22 = x`