A parallelogram has one angle that measures 68°. What are the measures of the other three angles in the parallelogram?
Since opposite angles in a parallelogram are equal, another angle of the parallelogram measures 68°. Therefore, the sum of the measures of two adjacent angles is 180° - 68° = 112°. Since opposite angles are congruent in a parallelogram, the other two angles also have a sum of 112°. Therefore, each of those angles measures 56°. So the measures of the other three angles in the parallelogram are 68°, 68°, and 56°.
In a parallelogram, opposite angles are congruent. So, the angle opposite to the angle measuring 68° also measures 68°.
To find the measures of the other two angles, we can subtract 68° from 180° (since the sum of the angles of a parallelogram is 360°).
180° - 68° = 112°
Therefore, the other two angles in the parallelogram measure 112° each.