Question

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

a. 60
b. 12
c. 17
d. 64

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \(61^{\circ}+(7x)^{\circ}=180^{\circ}\).

Step2: Solve the equation for \(x\)

Subtract \(61\) from both sides: \(7x = 180 - 61\), \(7x=119\). Then divide both sides by \(7\): \(x=\frac{119}{7}=17\).

Answer:

C. 17