Question

The degree measure of one angle of a parallelogram is 30 more than that of a consecutive angle. Find the degree measure of each angle of the parallelogram.
Info:
The sum of the degree measures of any two consecutive angles of a parallelogram is 180*.

****Please show work so that I can understand.****

Answer 1

consecutive angles are also called adjacent angles..........

In a parallelogram, consecutive/adjacent angles always add up to 180 degree (as they are co-interior angles of two parallel lines)

Let the smaller angle be = x degree
then larger angle is (x+30) degree
so
x + (x+30) = 180
2x + 30 = 180
2x = 180-30
x = 150/2
x = 75
so
smaller angle is 75 degree and
larger angle is 75+30 = 105 degree

Answer 2

oh...thanks. It make sense that consecutive angles are ajacent. Thanks alot!