Angle Pair Relationships
There are eight angles, but only two angle measurements.
All of the acute angles are congruent. 1 = 4 = 5 = 8
All of the obtuse angles are congruent. 2 = 3 = 6 = 7
The two different angle measurements are supplementary
(their sum is 180°)
 
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 Congruent Corresponding Alternate Interior Alternate ExteriorVertical
There are six special terms that describe angle relationships in the figure above. Four refer to congruent angle pairs. Two refer to supplementary angle pairs. 
Supplementary Consecutive Linear Pairs
 Corresponding angles are congruent. The corresponding pairs of angles are:
1 = 5
2 = 6
3 = 7
4 = 8
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Alternate means on the other side of the transversal.
Interior means between the parallel lines.
Alternate interior angles are congruent.
The alternate interior pairs of angles are:
3 = 6
4 = 5
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Alternate means on the other side of the transversal.
Exterior means outside of the parallel lines.
Alternate exterior angles are congruent.
The alternate exterior pairs of angles are:
1 = 8
2 = 7
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Same side means on the same side of the transversal.
Interior means between the parallel lines.
Same side interior angles are supplementary.
The same side interior pairs of angles are:
angle 3 + angle 5 = 180
angle 4 + angle 6 = 180
Same side means on the same side of the transversal.
Exterior means between the parallel lines.
Same side exterior angles are supplementary.
The same side exterior pairs of angles are:
angle 1 + angle 7 = 180
angle 2 + angle 8 = 180
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Terms:

Corresponding

Alternate Interior

Alternate Exterior

Consecutive

Vertical

Linear Pair

1. Which angle is alternate interior to angle 3?
angle 6
angle 4
angle 2

angle 5

2. Which angle is alternate exterior to angle 7?
angle 1
angle 2
angle 3
angle 8
3. Which angle is corresponding to angle 2?
angle 1
angle 3
angle 6
angle 7
4. Which angle is consecutive interior to angle 4?
angle 6
angle 1
angle 3
angle 5
5. Which angle is vertical to angle 2?
angle 1
angle 4
angle 7
angle 3
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