Vertical Angles are those angles that are opposite each other when two lines intersect. In this figure, ∠ACB and ∠ACB are vertical angles.
Complementary angles add up to 90°. In this figure, ∠QRT and ∠TRS are complementary.
∠QRT + ∠TRS = 90°
Supplementary angles add up to 180°. In this figure, ∠ACD and ∠DCE are supplementary. ∠ACB and ∠BCE are also supplementary.
∠ACD + ∠DCE = 180°