Question

2 find the measure of the indicated angle that makes lines u and v parallel.
a. 30
b. 130
c. 50
d. 150

1. find the measure of the indicated angle that makes lines u and v parallel.

a. 52
b. 128
c. 62
d. 116

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines are cut by a transversal, alternate interior angles are equal.

Step2: Analyze the first problem

In the first problem, if lines \(u\) and \(v\) are parallel, the indicated angle and the \(130^{\circ}\) angle are alternate interior angles. So the indicated angle is \(130^{\circ}\).

Step3: Analyze the second problem

In the second problem, if lines \(u\) and \(v\) are parallel, the indicated angle and the \(128^{\circ}\) angle are alternate interior angles. So the indicated angle is \(128^{\circ}\).

Answer:

1. B. 130
2. B. 128