Question

If M and N are parallel and angle 1 is 135 degrees what is the measure of angle 2

Answer 1

If M and N are parallel, then angle 1 and angle 2 are alternate interior angles. Alternate interior angles are congruent when the two lines intersected by a transversal are parallel.

Therefore, angle 1 and angle 2 have the same measure. Since angle 1 is 135 degrees, the measure of angle 2 is also 135 degrees.