Answer:
∠1 = 62°
∠2 = 118°
∠3 = 62°
∠4 = 118°
Explanation:
Notice that ∠5 is an internal angle, because it's between the parallels.
∠1 and ∠5 are corresponding angles, becasue they are at the same side of the transveral, and one is internal and the other external. So, ∠1 = 62°.
∠2 and ∠1 are supplementary angles, because they are on a straight angle, so if ∠1 = 62°, then ∠2 = 180° - 62° = 118°.
∠3 and ∠1 are vertical angles, because they have a vertex in common only. So, they are congruent, which means ∠3 = 62°.
Finally, ∠4 and ∠2 are vertical angles, so they are congruent. ∠4 = 118°.