Question

1. solve for x.

x:__________________________

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((4x - 12)+120 = 180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(4x-12 + 120=4x + 108\). So, \(4x+108 = 180\).

Step3: Solve for \(x\)

Subtract 108 from both sides: \(4x=180 - 108\), \(4x = 72\). Then divide both sides by 4: \(x=\frac{72}{4}\).

Answer:

\(x = 18\)