Question

Which of the following could be the measure of a pair of consecutive angles in a parallelogram?

a) 120° and 80°
b) 140° and 40°
c) 30° and 60°
d) 156° and 34°

Answer 1

In a parallelogram, consecutive angles are congruent. Therefore, option c) (30° and 60°) could be the measures of a pair of consecutive angles in a parallelogram.

Step-by-step explanation:

In a parallelogram, opposite angles are congruent. Therefore, if two consecutive angles in a parallelogram are given, they must be congruent.

Based on the given options:

• a) 120° and 80° - These angles are not congruent, so they cannot be the measures of consecutive angles in a parallelogram.
• b) 140° and 40° - These angles are not congruent, so they cannot be the measures of consecutive angles in a parallelogram.
• c) 30° and 60° - These angles are congruent, so they could be the measures of consecutive angles in a parallelogram.
• d) 156° and 34° - These angles are not congruent, so they cannot be the measures of consecutive angles in a parallelogram.

Therefore, the correct answer is option c) 30° and 60°.