Question

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

107°
(3x + 2)°
a. 35
b. 12
c. 17
d. 64

Explanation:

Step1: Use the property of congruent angles

When parallel lines are cut by a transversal, the angles are congruent. So \(3x + 2=107\).

Step2: Solve the equation for \(x\)

Subtract \(2\) from both sides: \(3x=107 - 2\), so \(3x = 105\).
Divide both sides by \(3\): \(x=\frac{105}{3}\).

Answer:

A. 35