Question

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

a 100
b. 80
c 90
d. 110

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

a. 33
b. 132
c. 114
d. 66

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

For the first problem, if lines \(u\) and \(v\) are parallel, the indicated angle and the \(80^{\circ}\) angle are alternate - interior angles. So the measure of the indicated angle is \(80^{\circ}\).

Step3: Analyze the second problem

For the second problem, if lines \(u\) and \(v\) are parallel, the indicated angle and the \(66^{\circ}\) angle are alternate - interior angles. So the measure of the indicated angle is \(66^{\circ}\).

Answer:

1. B. 80
2. D. 66