A parallelogram has one angle that measures 54°. What are the measures of the other three angles in the parallelogram?

Answer 1

Since opposite angles in a parallelogram are congruent, the opposite angle to the 54° angle also measures 54°. Therefore, the sum of the other two angles must be 180° - 54° - 54° = 72°. Since opposite angles in a parallelogram are also supplementary, the other two angles are congruent as well. Thus, each of the other two angles measures (72°)/2 = 36°. Therefore, the measures of the other three angles in the parallelogram are 54°, 54°, and 36°.