Supplementary, complementary, and vertical angles are important angle pairs with specific properties.

Two angles that add up to 180 degrees. For example, angles measuring 120° and 60° are supplementary.

Angles that add up to 90 degrees. For instance, angles measuring 30° and 60° are complementary.

Pairs of opposite angles formed when two lines intersect. They are always congruent (equal). For instance, angles 1 and 3 or angles 2 and 4 in an 'X' formed by intersecting lines are vertical angles.

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Knowing these angle relationships is fundamental for geometry and problem-solving.