Sum of measurements

Question

The sum of measurements of the angles of a parallelogram is 360 degrees angles a and d have the same measures as well as angles b and c. If the angle of angle c is 5 times the measure of angle a, find the measure of each angle. 

Answer 1

Consecutive angles of a parallelogram are supplementary.

a + c = 180

a + 5a = 180

6a = 180

a = 30

c = 150