Answer:
m<1 = 130°
m<2 = 50°
Step-by-step explanation:
Since given that line a is parallel to line b, and <1 and 130° are interior angles that alternate each other, therefore:
m<1 = 130° (alternate interior angle theorem)
Also,
130° and <2 lie on same side inside the parallel lines cut across by the transversal, therefore,
m<2 + 130° = 180° (same side interior angles theorem)
m<2 = 180° - 130°
m<2 = 50°
