The sides are the same length and internal angles the same
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The congruent angles are identical only in their number of .degrees. The measure of their sides is of no interest.
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
Congruent Triangles have the same angles and side length measures
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Yes, they are.
The pair of angles at the end of each parallel side - the two base angles and the two top angles - are congruent.