Question

1. solve for x in the transversal below.
2. given that a||c, m∠ahe = 4x + 7, and m∠fkd = 5x - 1, what does m∠fkd eq

Explanation:

Step1: Use the property of supplementary angles

When two lines are cut by a transversal, consecutive interior angles are supplementary. So, \((3x + 1)+125=180\)

Step2: Simplify the equation

\(3x+126 = 180\)

Step3: Solve for \(x\)

Subtract \(126\) from both sides: \(3x=180 - 126\), \(3x = 54\). Then divide both sides by \(3\): \(x=\frac{54}{3}=18\)

Answer:

\(x = 18\)