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QUESTION IMAGE

solve for x. x = submit

Question

solve for x.

x =
submit

Explanation:

Step1: Identify angle - relationship

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

Step2: Solve the equation for \(x\)

Add 7 to both sides of the equation:
\[8x-7 + 7=67 + 7\]
\[8x=74\]
Divide both sides by 8:
\[x=\frac{74}{8}=\frac{37}{4}=9.25\]

Answer:

\(9.25\)