text: a) True.  Perpendicular lines form 90 degree angles.\nIf they were not perpendicular, then the angles would not be 90. \nThe two angles have to add up to 180.  \nIf the lines are perpendicular, then both angles are 90.\n90 + 90 = 180\nIf the lines are not perpendicular, then one angle has to be less than 90 and the other will be greater than 90.\nSince one is less than 90 and the other is greater than 90, the angles can't be congruent because they are not equal.\n\nb) False.  Two angles are congruent if they have the same angle measure.\nIf measure of angle A is 65, and measure of angle B is also 65, then angle A is congruent to angle B.  The angle measures do not have to be 90.