A parallelogram has one angle that measures 72°. What are the measures of the other three angles in the parallelogram?
1 answer
Since opposite angles in a parallelogram are congruent, the opposite angle to the 72° angle is also 72°. Therefore, the sum of these two angles is 144°. Since the sum of all the angles in any parallelogram is 360°, we can subtract 144° from 360° to get 216° for the other two angles. Both of these angles have the same measure, so each one is 108°. Therefore, the measures of the other three angles in the parallelogram are 72°, 72°, and 108°.