One angle of a parallelogram measures 31°. 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 angle measuring 31° is also 31°. Therefore, the sum of the two adjacent angles must be 180°-31°-31° = 118°. Since the opposite sides in a parallelogram are parallel, the other two angles must also be congruent. So, each of the other two angles measures (180°-118°)/2 = 31°. Therefore, all four angles in the parallelogram measure 31°.
In a parallelogram, opposite angles are congruent. Since we know one angle measures 31°, the opposite angle will also measure 31°.
To find the measures of the other two angles, we can subtract 31° from 180° (the sum of angles in a parallelogram).
180° - 31° = 149°
So, the other two angles in the parallelogram measure 31° and 149°.