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.

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.

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

How many sides of each triangle and how many angles of each triangle do you have ? If you have two sides and the angle between them, or two angles and the side between them, equal to the same parts of the other triangle, then your triangles are congruent. You don't even have to know what the actual numbers are. If the expressions are equal, then the sides or angles are equal.

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

I believe those would be corresponding angles?

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.