Question

solve for x.

Explanation:

Step1: Use the property of corresponding angles

Since \(DE\parallel FG\), the angle \((7x + 18)^{\circ}\) and the angle adjacent to \(81^{\circ}\) (which is \(180^{\circ}- 81^{\circ}=99^{\circ}\)) are corresponding angles. So \(7x+18 = 99\).

Step2: Solve the equation for \(x\)

Subtract \(18\) from both sides of the equation \(7x+18 = 99\):
\(7x=99 - 18\)
\(7x=81\)
Divide both sides by \(7\):
\(x=\frac{81}{7}=12.71428571\approx12.71\)

Answer:

\(x = 12.71\)