Answer:
m<1 = 92°
m<2 = 88°
m<3 = 92°
Explanation:
Use the vertical angles theorem to show that the measure of angle 2 is the same as the measure of angle 4 which is 88 degrees. Then you can see that angles 1 and 4 are a linear pair, meaning the sum of their angles is equal to 180. So 88 + m<1 = 180, and m<1 = 92 degrees. m<1 is equal to m<3 by the vertical angles theorem as well, so the m<3 is also 92 degrees.