They can be as for example in an isosceles trapezoid.
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No, not all angles in a trapezoid are congruent. A trapezoid may have two pairs of congruent angles, or may have no congruent angles.
The base angles of an isosceles trapezoid are congruent
No
They are congruent angles.
Yes. The lower base angles are congruent. The upper base angles are congruent.