Question

solve for x.

x =

submit

Explanation:

Step1: Identify the relationship between angles

Since \(GH\parallel IJ\), \(\angle GKL\) and \(\angle ILK\) are supplementary (consecutive interior angles). So \((8x - 7)+67 = 180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(8x-7 + 67=8x + 60\). So the equation becomes \(8x+60 = 180\).

Step3: Solve for \(x\)

Subtract 60 from both sides: \(8x=180 - 60\), so \(8x = 120\). Then divide both sides by 8: \(x=\frac{120}{8}\).

Answer:

\(x = 15\)