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Type of angle Complementary Angles Properties Two angles whose angle measures total 90 degrees. Supplementary Angles Two angles whose measures total 180 degrees. Adjacent Angles When two angles share a side and a vertex but have no common interior points. Vertical Angles When two lines intersect at a point, they form four angles. The nonadjacent angles are vertical angles. Alternate Interior Angles The pairs of angles on opposite sides of the transversal for two lines, but inside the two lines. Alternate Exterior Angles The pairs of angles on opposite sides of the transversal for two lines, but outside the two lines. Example Corresponding Angles The pairs of angles on the same side of the transversal for two lines and on the same side of the given line. Exterior Angle Angles formed by one side of a polygon and the extension of an adjacent angle The exterior angle of a triangle is: ~Always supplementary to the interior angle it is adjacent to ~Always equal to the sum of the other two interior angles of the triangle Interior Angle Angles formed by two adjacent sides of a polygon. ** the sum of the measure of the interior angles of a triangle is 180 degrees.