Question

The measures of two adajacent angles of a parallelogram are in the ratio 3.2 find the measures of each of the angles of the parallelogram
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Answer 1

Answer:

Hey mate! here is your answer below

Step-by-step explanation:

Let the measure of two adjacent angle ∠A & ∠B of parallelogram ABCD are in the ratio 3:2.

Let ∠A=3x & ∠B=2x

We know sum of two adjacent angles of parallelogram is 180°

3x+2x=180°

5x=180

[x=36°]

Hence ∠A=3x=108° & ∠B=2x=72°

[∠A=∠C=180°] & [∠B=∠D=72°].