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QUESTION IMAGE

solve for x.

Question

solve for x.

Explanation:

Step1: Identify angle - relationship

Assume $CD\parallel EF$, then $\angle DGH$ and $\angle GHF$ are corresponding angles and are equal. So $15x=5x + 70$.

Step2: Solve the equation

Subtract $5x$ from both sides: $15x-5x=5x + 70-5x$, which simplifies to $10x=70$.

Step3: Find the value of x

Divide both sides by 10: $x=\frac{70}{10}=7$.

Answer:

$7$