Question

1. given the parallel lines cut by a transversal, find the value of x:

a 60
b 42
c 17
d 64

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary. So, \(3x + 126=180\).

Step2: Solve the equation for \(x\)

Subtract 126 from both sides of the equation: \(3x=180 - 126\). Then \(3x = 54\). Divide both sides by 3: \(x=\frac{54}{3}\).

Answer:

B. 42