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If they have the same degrees than they're congruent. There are many possibilites. It depends where the angle is placed. Let say that you don't know the measurement of the angle and there are two parrallel lines with another line crossing (transversal). Rules/ Theorems state that consecutive interior/exterior, alternative interior/exterior are all congruent. Vertical angles are also congruent. Etc.. You just need to know the properties of the shape or know the prob. If i don't know the situation, i can't point you to which theorem you should use.

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Q: How can two angles be congruent?
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