Answer:
m∠1 = 105°
m∠2 = 75°
Explanation:
Lines a and b are parallel.
1. Angles 1 and 75° are the same side angles when two parallel lines a and b are cut by transversal t.
The same side angles add up to 180°, so
m∠1 + 75° = 180°
m∠1 = 180° - 75°
m∠1 = 105
2. Angles 2 and 1 are supplementary (add up to 180°), then
m∠1 + m∠2 = 180°
m∠2 = 180° - 105°
m∠2 = 75°