Q: Are angles congruent when their side measures are the same?

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Same side interior angles are congruent to their vertical angles.

They can be.

If all the angle and side measures are the same, then yes, they're all congruent.

Yes, they are. IF the side is between the two angles in both triangles,and all three items flow in the same direction in both triangles.

Not always but they may be similar in shape.

Related questions

Congruent Triangles have the same angles and side length measures

Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.

Same side interior angles are congruent to their vertical angles.

angles and side length measures

They can be.

The sides are the same length and internal angles the same

Corresponding angles.

Congruent means exactly the same in size and angles. Only the two side angles are equal for a kite that is not a square.

Congruent angles are of the same size as for example 85 degrees is congruent to 85 degrees

If all the angle and side measures are the same, then yes, they're all congruent.

I believe those would be corresponding angles?

Yes, they are. IF the side is between the two angles in both triangles,and all three items flow in the same direction in both triangles.