Question

geometry
© 2023 kuta software llc. all rights reserved.
angle pairs
name berkeley williams
period 2
for each problem:
a. find the measure of each angle indicated.
b. are the angles congruent or supplementary?
c. explain how you know. (vertical, linear pair, alternate interior, alternate exterior, same side interior, or corresponding)
1)
2)
3)
4)
5)
6)
7)
8)

Explanation:

1)

Step1: Identify angle - type

Since the angles are alternate interior angles, they are congruent.

Step2: Find angle measure

The indicated angle is congruent to the given \(110^{\circ}\) angle. So the measure of the indicated angle is \(110^{\circ}\).

Step3: Determine congruence/supplementary

The angles are congruent.

Step4: Explain

They are alternate interior angles.

Step1: Identify angle - type

The angles are alternate exterior angles. Alternate exterior angles are congruent when the lines are parallel.

Step2: Find angle measure

The indicated angle is congruent to the given \(116^{\circ}\) angle. So the measure of the indicated angle is \(116^{\circ}\).

Step3: Determine congruence/supplementary

The angles are congruent.

Step4: Explain

They are alternate exterior angles.

Step1: Identify angle - type

The angles are corresponding angles. Corresponding angles are congruent when the lines are parallel.

Step2: Find angle measure

The indicated angle is congruent to the given \(64^{\circ}\) angle. So the measure of the indicated angle is \(64^{\circ}\).

Step3: Determine congruence/supplementary

The angles are congruent.

Step4: Explain

They are corresponding angles.

Answer:

a. \(110^{\circ}\)
b. Congruent
c. Alternate interior angles

2)