If they have the same measure.
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if two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.
The two angles are congruent. They are congruentangles. Congruent is basically 'same' in math. We often say congruent shapes, congruent, angles, and congruent sides.
Two angles that have the same measure.
That means they have the same measurement. Any two angles that have the same measurement (for example, in degrees) are said to be congruent.
The same measure.