Answer :

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

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

Therefore,

∠A + ∠B = 180o


3 x + 2 x = 180o

5 x = 180o



∠A = ∠C = 3 x = 3 x 36° =  108o (Opposite angles)


∠B = ∠D = 2 x = 2 x 36° = 72o (Opposite angles)


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

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