Question

solve for x.

x =

Explanation:

Step1: Use the property of corresponding angles

Since \(DE\parallel FG\), \((124 - x)^{\circ}\) and \((8x + 43)^{\circ}\) are corresponding angles, so \(124−x = 8x + 43\).

Step2: Solve the equation for \(x\)

Add \(x\) to both sides: \(124=8x + 43+x\), which simplifies to \(124 = 9x+43\).
Subtract \(43\) from both sides: \(124 - 43=9x\), so \(81 = 9x\).
Divide both sides by \(9\): \(x=\frac{81}{9}\).

Answer:

\(9\)