A parallelogram has one angle that measures 72°. What are the measures of the other three angles in the parallelogram?
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°.
In a parallelogram, opposite angles are congruent. Therefore, if one angle measures 72°, then the opposite angle also measures 72°.
To find the measures of the other two angles, we can subtract 72° from 180° (since the sum of the angles in any quadrilateral is 360°).
180° - 72° = 108°
So, the other two angles in the parallelogram each measure 108°.