You can use three properties of angles on intersecting lines:
(1) similar angles of two parallel lines intersected by a third line
(2) vertically opposite angles equality
(3) supplemental angle
So:
Step 1: <8 = <4 (due to line being parallel, angles are similar)
<4 = 147 deg
Step 2:
<2 = <4
<2 = 147 deg
Step 3:
<3 = 180-<2 (supplemental angle)
<3 = 33 degrees
Answer:
m<2 = 147 deg
m<3 = 33 deg
