Question

Can someone please help me with Geometry?
Will add image.

Answer 1

it might be 135 i forgot this. havnt learned it in a long time but im not 100% sure so wait for other answers sorry..

Answer 2

Thank you. But I need to learn how to work the problem.

Answer 3

Will someone please help me work through this problem?

Answer 4

Okay, so the answer to your problem is B. 45 degrees.

Now how you get that is you look at the placement of the angle of 2.
If angle 2 is 135 degrees, then angle 8 is also 135 degrees because 2 and 8 are alternate interior angles inside the two parallel lines.
To get the measure of angle 7, you need to subtract the measure of 8 from 180 degrees, since the measure of the straight line going through both parallel lines measures 180 degrees.
So if you need to show your work, I made a proof for you:

line t = 180 degrees
Angle 2 = 135 degrees
Angle 2 = Angle 8 because of alternate interior angles theorem
Angle 1 = Angle 7 because of alternate exterior angles theorem
Angle 2 + Angle 1 = 180 because of angle addition
Angle 2 + Angle 1 = Angle 7 + Angle 8 because of substitution
180 - 135 = 45 degrees because of angle subtraction
Therefore, Angle 7's measure is 45 degrees.