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In general two things are complementary when they add up to a whole of some kind. For example, in geometry, two angles are said to be complementary when they add up to 90°. One angle is said to be the complement of the other.

more ... Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.

In geometry, a vertical line is one which runs from up and down the page. Its cousin is the horizontal line which runs left to right across the page. A vertical line is perpendicular to a horizontal line.

In math, the word 'acute' refers to an angle less than 90°, or to a shape involving angles less than 90°. It is the opposite of obtuse, which refers to an angle greater than 90°.