Question

solve for x.
x =

Explanation:

Step1: Identify angle - relationship

Assume \(GH\parallel IJ\), then \((8x - 7)^{\circ}\) and \(67^{\circ}\) are corresponding angles (or alternate - interior/alternate - exterior angles depending on the parallel - line properties), so they are equal.
\(8x-7 = 67\)

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:

\(9.25\)