If two angles are congruent and supplementary, then _______.
If two angles are congruent and supplementary, it means that they have the same measure and their sum is equal to 180 degrees
If two angles are congruent and supplementary, it means that they have the same measure and their sum is equal to 180 degrees. In other words, if angle A is congruent to angle B, and angle A + angle B = 180 degrees, then the two angles are congruent and supplementary.
This situation can only occur if the two angles are both right angles, measuring 90 degrees each. Since the sum of two right angles is 180 degrees, if two angles are congruent and supplementary, they must each be right angles.
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