1. Same-side interior: 1 & 3
2. Corresponding: 3 & 6
3. Alternate exterior: 1 & 5
Identify a pair of angles for each type
15. Same-side interior
Answer: Angles 1 and 3 are a pair of same-side interior angles.
Definition:Same-side interior angles are two angles that are on the same side of a transversal and interior to the two lines cut by the transversal.
Explanation: Angles 1 and 3 are both on the same side of transversal AB and interior to the two lines cut by the transversal, lines AC and BD.
16. Corresponding
Answer:Angles 3 and 6 are a pair of corresponding angles.
Definition:Corresponding angles are two angles that are in the same position relative to two parallel lines and a transversal.
Explanation: Angles 3 and 6 are both in the corresponding position relative to parallel lines AC and BD and transversal AB.
17. Alternate exterior
Answer:Angles 1 and 5 are a pair of alternate exterior angles.
Definition: Alternate exterior angles are two angles that are outside of two parallel lines and alternate to each other relative to a transversal.
Explanation: Angles 1 and 5 are both outside of parallel lines AC and BD and alternate to each other relative to transversal AB.
Diagram:
6
3 1
A 8
1 5
2