Question

find the measure of the indicated angle that makes lines u and v parallel.
1)
2)
3)
4)
6)
8)

Explanation:

Step1: Recall corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Solve for each angle

Problem 1

The given angle of \(130^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(130^{\circ}\).

Problem 2

The given angle of \(128^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(128^{\circ}\).

Problem 3

The given angle of \(66^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(66^{\circ}\).

Problem 4

The given angle of \(80^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(80^{\circ}\).

Problem 5

The given right - angle (\(90^{\circ}\)) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(90^{\circ}\).

Problem 6

The given angle of \(81^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(81^{\circ}\).

Problem 7

The given angle of \(53^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(53^{\circ}\).

Problem 8

The given angle of \(58^{\circ}\) and the indicated angle are corresponding angles. So the measure of the indicated angle is \(58^{\circ}\).

Answer:

1. \(130^{\circ}\)
2. \(128^{\circ}\)
3. \(66^{\circ}\)
4. \(80^{\circ}\)
5. \(90^{\circ}\)
6. \(81^{\circ}\)
7. \(53^{\circ}\)
8. \(58^{\circ}\)