Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
