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QUESTION IMAGE

solve for x. (8x - 7)° 67° x =

Question

solve for x.
(8x - 7)°
67°
x =

Explanation:

Step1: Identify angle - relationship

Assume $GH\parallel IJ$. $\angle GKL$ and $\angle ILK$ are corresponding angles, so $8x - 7=67$.

Step2: Solve the equation for x

Add 7 to both sides of the equation: $8x-7 + 7=67 + 7$, which simplifies to $8x=74$.
Then divide both sides by 8: $x=\frac{74}{8}=\frac{37}{4}=9.25$.

Answer:

$9.25$