The measures of two adjacent angles of a parallelogram are in the ratio 3: 2. Find the measure of each of the angles of the parallelogram.
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Answer:
Let two adjacent angles A and B of ∥gm ABCD be 3x and 2x respectively.
Since the adjacent angles of a parallelogram are supplementary.
∠A+∠B=180
⇒3x+2x=180
⇒5x=180
x =36
3x=3*36=108
2x=2*36=72
so angle a = angle c
= 108 degree each
angle b = angle d
=72 degree each
hope it helps ..
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