Answer:
m<2 = 130°
Explanation:
m<1 + m<2 = 180° (angles on a straight line/linear pair theorem)
First, we need to find m<2.
m<1 + 90° + 40° = 180° (sum of triangle)
Add like terms
m<1 + 130 = 180
Subtract 130 from each side
m<1 = 180 - 130
m<1 = 50°
Thus:
50° + m<2 = 180°
Subtract 50° from each side
m<2 = 180 - 50
m<2 = 130°