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QUESTION IMAGE

solve for x.

Question

solve for x.

Explanation:

Step1: Use the property of corresponding angles

Since \( FG\parallel HI \), then \( 2x - 15=59 \) (corresponding angles are equal).

Step2: Solve the equation for \( x \)

Add \( 15 \) to both sides of the equation: \( 2x=59 + 15 \), so \( 2x=74 \).
Divide both sides by \( 2 \): \( x=\frac{74}{2} \).

Answer:

\( 37 \)