1. True
2. True
3. False
4. True
5. False
6. True
7. False
8. True
9. True
Bonus: ∠2 = 112°, ∠4 = 112°, ∠8 = 112°, ∠1 = 68°, ∠3 = 68°, ∠5 = 68°, ∠7 = 68°
Step-by-step explanation:
1. Angles 1 and 2 are supplementary because they form a straight line (180° angle) together.
2. Angles 1 and 5 are corresponding because their places (and angle measures) match.
3. Angles 2 and 5 are not alternate exterior angles because angle 5 is not on the outside area of the parallel lines.
4. Angles 4 and 6 are alternate interior angles because they are on opposite sides of the transversal and are both in the inside area of the parallel lines.
5. Angles 7 and 2 are not corresponding because their places (and angle measures) do not match.
6. Angles 3 and 6 are interior angles on the same side of the transversal because they are both in the inside area of the parallel lines and are on the same side of the transversal.
7. Angle 3 is not congruent to angle 8 because they do not have the same angle measures.
8. Angles 3 and 7 are corresponding angles because their places (and angle measures) match.
9. Angles 8 and 2 are alternate exterior angles because they are on opposite sides of the transversal and are outside areas of the parallel lines.
Bonus: If angle 6 has a measure of 112°, then the angle that supplements it has a measure of 68° (112 + 68 = 180). It also goes for the other angles that are congruent to angle 6.
Hope this helped :)
