Question

In each figure below find m ∠1 and m∠2, if a||b. Justify with
reasons your solution.

Answer 1

m<1 = 130°

m<2 = 50°

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°