Question

solve for x.

x =
submit

Explanation:

Step1: Use the property of corresponding angles

Since \( GH\parallel IJ\), the angle \((8x - 7)^{\circ}\) and the angle supplementary to \(67^{\circ}\) are corresponding angles. The supplementary angle of \(67^{\circ}\) is \(180^{\circ}- 67^{\circ}=113^{\circ}\). So, \(8x-7 = 113\).

Step2: Solve the equation for \(x\)

Add \(7\) to both sides of the equation \(8x-7 = 113\):
\(8x-7 + 7=113 + 7\)
\(8x=120\)
Divide both sides by \(8\):
\(x=\frac{120}{8}=15\)

Answer:

\(15\)