In a parallelogram, consecutive angles are

In a parallelogram, consecutive angles are

• A. Supplementary
• B. Equal
• C. Complementary
• D. None of the above

Answer: (A)

In a parallelogram, opposite sides are parallel, so the two consecutive angles form interior angles on the same side of a transversal cutting those parallel lines. The interior angles on the same side of a transversal sum to 180 degrees, so the consecutive angles are supplementary. This fits with the overall angle sum of a parallelogram being 360 and opposite angles being equal, which also leads to adjacent angles adding to 180. They’re not generally equal (unless it’s a special case like a rectangle where each angle is 90), and they’re not complementary (that would require summing to 90).

In a parallelogram, opposite sides are parallel, so the two consecutive angles form interior angles on the same side of a transversal cutting those parallel lines. The interior angles on the same side of a transversal sum to 180 degrees, so the consecutive angles are supplementary. This fits with the overall angle sum of a parallelogram being 360 and opposite angles being equal, which also leads to adjacent angles adding to 180. They’re not generally equal (unless it’s a special case like a rectangle where each angle is 90), and they’re not complementary (that would require summing to 90).