Question

solve for x.

x =

submit

Explanation:

Step1: Identify angle - relationship

Assume \(DE\parallel FG\), then \((7x + 18)^{\circ}\) and \(81^{\circ}\) are corresponding angles or alternate - interior angles (depending on the parallel - line properties), and they are equal. So we set up the equation \(7x+18 = 81\).

Step2: Solve the equation for \(x\)

Subtract 18 from both sides of the equation: \(7x=81 - 18\), so \(7x = 63\).
Then divide both sides by 7: \(x=\frac{63}{7}\).

Answer:

9