Problema Solution

One angle of a parallelogram is 12 degrees less than three times the measure of the angle next to it. The sum of the measures of the angles is 180 degrees. Find the measure of the adjacent angles of the parallelogram.

Answer provided by our tutors

Set up a system of equations:

X + Y = 180

X = 3Y - 12

Now substitute

3Y - 12 + Y = 180

4Y = 192

Y = 48

X = 132