The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let the measures of two adjacent angles, A and B, of parallelogram ABCD are in the ratio of 3:2.

Let A = 3x and B = 2x

We know that the sum of the measures of adjacent angles is 180º for a parallelogram.

A + B = 180º

3x + 2x = 180º

5x = 180º

A = C = 3x = 108º (Opposite angles)

B = D = 2x = 72º (Opposite angles)

Thus, the measures of the angles of the parallelogram are 108º, 72º, 108º, and 72º.

Answered by  | 4th Jun, 2014, 03:23: PM