Question

identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
1)
2)
3)
4)
5)
6)
7)
8)

Explanation:

1. For question 1:

• Corresponding angles are in the same relative position. Alternate - interior angles are between the two parallel lines and on opposite sides of the transversal. Alternate - exterior angles are outside the two parallel lines and on opposite sides of the transversal. Consecutive - interior angles are between the two parallel lines and on the same side of the transversal.
• In the first figure, angles \(x\) and \(y\) are in the same relative position with respect to the parallel lines and the transversal, so they are corresponding angles.

1. For question 2:

• Angles \(x\) and \(y\) are outside the two parallel lines and on opposite sides of the transversal, so they are alternate - exterior angles.

1. For question 3:

• Angles \(x\) and \(y\) are between the two parallel lines and on opposite sides of the transversal, so they are alternate - interior angles.

1. For question 4:

• Angles \(x\) and \(y\) are between the two parallel lines and on the same side of the transversal, so they are consecutive - interior angles.

1. For question 5:

• Angles \(x\) and \(y\) are in the same relative position with respect to the parallel lines and the transversal, so they are corresponding angles.

1. For question 6:

• Angles \(x\) and \(y\) are between the two parallel lines and on opposite sides of the transversal, so they are alternate - interior angles.

1. For question 7:

• Angles \(x\) and \(y\) are outside the two parallel lines and on opposite sides of the transversal, so they are alternate - exterior angles.

1. For question 8:

• Angles \(x\) and \(y\) are between the two parallel lines and on the same side of the transversal, so they are consecutive - interior angles.

Answer:

1. Corresponding angles
2. Alternate - exterior angles
3. Alternate - interior angles
4. Consecutive - interior angles
5. Corresponding angles
6. Alternate - interior angles
7. Alternate - exterior angles
8. Consecutive - interior angles