Question

consecutive angles in a parallelogram are

a. congruent

b. acute

c. convex

d. supplementary

e. parallel

Explanation:

In a parallelogram, consecutive angles are supplementary. This is because of the property of parallel lines (opposite sides of a parallelogram are parallel) and the consecutive - interior angles theorem. When two parallel lines are cut by a transversal, consecutive - interior angles are supplementary. In a parallelogram, adjacent angles (consecutive angles) can be considered as consecutive - interior angles formed by one of the sides (transversal) and the two parallel sides.
Congruent angles: In a parallelogram, opposite angles are congruent, not consecutive angles.
Acute angles: A parallelogram can have acute and obtuse angles (except when it is a rectangle or a square). But this is not a general property of consecutive angles.
Convex: A parallelogram is a convex polygon, but this does not describe the relationship between consecutive angles.
Parallel: Angles cannot be parallel; sides of a parallelogram are parallel.

Answer:

D. supplementary