1 Answer
Solution :-
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 180 º for a parallelogram.
∠A + ∠B = 180º
3x + 2x = 180º
5x = 180º
x = \(\frac{180^\circ}{5} = 36^\circ\)
∠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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