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An angle bisector divides the angle into two congruent angles, each of which has measure half that of the given angle. An angle of measure less than 180 degrees has exactly one bisector. If the exterior sides of two adjacent angles are opposite rays, then the angles are supplementary. Two angles complementary to the same angle or angles of equal measure have equal measure. Two angles complementary to the same angle or congruent angles are congruent. Two angles supplementary to the same angle or angles of equal measure have equal measure. Two angles supplementary to the same angle or congruent angles are congruent. If 2 lines intersect to form right angles, then they are perpendicular. If 2 lines are perpendicular, then they form right angles. If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. All right angles have equal measure. Two adjacent angles formed by perpendicular lines have equal measure. If two lines form adjacent angles with equal measures, then the lines are perpendicular. Vertical angles have equal measure.