One angle of a parallelogram measures 31°. 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 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°.