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Adjacent angles are two angles that have a common vertex and a common side.

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either of two angles whose sum is 180°.

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either of two angles whose sum is 90°.

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each of the pairs of opposite angles made by two intersecting lines.

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two segments that a triangle's side is divided into by a line that bisects the opposite angle

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A point on a line segment that divides it into two equal parts
The halfway point of a line segment

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states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.