Question

I need help please!!!

Answer 1

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