PLEASE HELP ME HOW TO FIND IT

Question

If n || m, find m∠1 + m∠2.

m∠1 + m∠2 =

Answer 1

The first concept that can help up with a few of these angles is vertical angles. The 60° angle and ∠1 are vertical angles as well as the 20° and ∠BAC. Vertical angles have the same measure. So ∠1 is 60° and ∠BAC is 20°.

∠BAC and ∠2 are alternate interior angles. These measures are the same. So ∠2 = 20°. Adding the angles together:

∠1 + ∠2 = 60° + 20° = 80°

Answer 2

m∠2 = 20° because vertical angles are equal and alternate-interior angles of parallel lines are equal.

∠m1 = 60° because vertical angles are equal