Question

solve for x.

x =

Explanation:

Step1: Use the property of alternate interior angles

Since \( GH\parallel IJ\), then \((8x - 7)^{\circ}\) and \(67^{\circ}\) are alternate interior angles. Alternate interior angles are equal. 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 \(8x=74\).
Divide both sides by \(8\): \(x=\frac{74}{8}=\frac{37}{4} = 9.25\).

Answer:

\(9.25\)