. The measurement of two adjacent angles of a parallelogram are in the ratio 3 : 2 .
Find the measurement of each of the angles of the parallelogram.
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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 180o
3x+2x=180o
5x=180
[x=36o]
Hence ∠A=3x=108o & ∠B=2x=72o
[∠A=∠C=180o] & [∠B=∠D=72o].
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