Question

the measure of two adjacent angles of a parallelogram is in ratio 3:2 find the mesure of each angle of the pallelogram
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Answer 1

Answer:

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

Step-by-step explanation:

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

x= 180/5 = 36º

∠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.

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