Answer:
m<2 is 148, m<1 is 32
Explanation:
Angle 2 and the angle with the measure of 148 are alternate interior angles. Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. Because of this, they are always equal.
m<2 is 148 degrees
Angle 1 and Angle 2 have a common side on a line, which means the sum of m<1 and m<2 is 180
m<1 + m<2 = 180
Plug in what we know about Angle 2:
m<1 + 148 = 180
m<1 = 180 - 148
m<1 = 32