Question

solve for x.

Explanation:

Step1: Use the property of alternate interior angles

Since \(DE\parallel FG\), \((13x + 79)^{\circ}\) and \((17x+67)^{\circ}\) are alternate - interior angles. Alternate - interior angles are equal. So, \(13x + 79=17x+67\).

Step2: Solve the equation for \(x\)

Subtract \(13x\) from both sides: \(79 = 4x+67\).
Subtract \(67\) from both sides: \(4x=79 - 67\), so \(4x = 12\).
Divide both sides by \(4\): \(x=\frac{12}{4}\).

Answer:

\(x = 3\)