Answer:
m < 2 = 45°
Step-by-step explanation:
m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal. Since they are corresponding angles, then it means that they have the same measure.
Therefore, if m < 1 = 135°, then m < 3 = 135°.
Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.
Therefore:
m < 2 + m < 3 = 180°
m < 2 + m < 135° = 180°
m < 2 = 180° - m < 135°
m < 2 = 45°