Question

name aden scott date per part 1. identify each pair of angles as alternate interior, alternate exterior, corresponding or consecutive interior, then determine if they are equal in measure or are supplementary. 1) 2) 3) 4) 5) 6) part 2. find the measure of each indicated angle and explain why (corresponding, alternate interior, etc). 7) 8) 9) 10)

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines are cut by a transversal, corresponding angles are equal, alternate - interior angles are equal, alternate - exterior angles are equal, and consecutive interior angles are supplementary.

Step2: Solve for part 1

1. Corresponding angles are equal.
2. Alternate exterior angles are equal.
3. Corresponding angles are equal.
4. Corresponding angles are equal.
5. Alternate interior angles are equal.
6. Alternate exterior angles are equal.

Step3: Solve for part 2

1. The indicated angle is \(110^{\circ}\) because it is a corresponding angle to the given \(110^{\circ}\) angle.
2. The indicated angle is \(84^{\circ}\) because it is a corresponding angle to the given \(84^{\circ}\) angle.
3. The indicated angle is \(100^{\circ}\) because it is a corresponding angle to the given \(100^{\circ}\) angle.
4. The indicated angle is \(53^{\circ}\) because it is a corresponding angle to the given \(53^{\circ}\) angle.

Answer:

1. Corresponding, equal
2. Alternate exterior, equal
3. Corresponding, equal
4. Corresponding, equal
5. Alternate interior, equal
6. Alternate exterior, equal
7. \(110^{\circ}\), corresponding angles
8. \(84^{\circ}\), corresponding angles
9. \(100^{\circ}\), corresponding angles
10. \(53^{\circ}\), corresponding angles