Jamal’s teacher gave him the following figure and asked him to provide a statement that would guarantee lines a and b are parallel.

Question

anonymous · Answer

Which statement should Jamal use to prove that lines a and b are parallel?

		∠3 = 120°
		∠7 = 120°
		∠2 = 60°
		∠4 = 60°

anonymous · Answer

The second answer is correct.
Angles on a straight line add up to 180 so Angle 2 = 60
Alternate angles also equal 180 so Angle 4 = 60 and Angle 3 = 120
Now you need to find a corresponding angle on the other line and Angle 7 is the only option you're given so if that equals 120, the rule of corresponding angles means that the lines are parallel.

Hope this helps! :)

anonymous · Answer

Thank you so much. That was the answer I got but I did not completely understand why! Thanks. Not to be rude but is there any way you could check out the question before this and help me out? It's a closed question.

anonymous · Answer

:)

anonymous · Answer

I'm pretty sure they're both correct, they just use a different angle.
One uses Angles 1 and 3 and 4 and 3
The other uses 1 and 2 and 3 and 2

anonymous · Answer

Thank you so much. :)

anonymous · Answer

No worries :)