Answer:
Step-by-step explanation:
In a parallelogram, the opposite sides are equal and parallel.
The opposite angle of a parallelogram are equal. The consecutive angles of a parallelogram are supplementary. This means that their sum is 180 degrees. Since the two supplementary angles are (3x + 10) degrees and (x - 30) degrees, it means that
3x + 10 + x - 30 = 180
3x + x = 180 - 10 + 30
4x = 200
x = 200/4 = 50
The measure of one angle is
x - 30 = 50 - 30 = 20 degrees
The measure of the other angle is
3x + 10 = 3 × 50 + 10 = 160 degrees
