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

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

And, 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)


Hence, the measure of the angles of the parallelogram are 108o, 72o, 108o, and 72o


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