No.
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showing consecutive angles are congruent
No. In a parallelogram, opposite angles are congruent.
Yes, opposite angles of a parallelogram are congruent.
A square has 4 congruent sides and 4 right angles, in addition to having all of the properties of a parallelogram. A kite is not a parallelogram. It has two pairs of consecutive congruent sides, and a pair of congruent opposite angles.
the opposite angles are congruent