Yes providing that they are regular 5 sided pentagons otherwise no if they are irregular pentagons
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Yes
Sometimes. For a regular pentagon, all the sides and interior angles are congruent. However, this isn't the case for some pentagons.
No, not all angles in a trapezoid are congruent. A trapezoid may have two pairs of congruent angles, or may have no congruent angles.
Some are some are not. Two regular pentagons with one equal side are congruent.
No, not all congruent angles are 45 degrees. They only are in complementary congruent angles.