If the ratio of measures of two adjacent angles of a parallelogram is 1:2, find the measures of the acute angle of the parallelogram
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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
o
3x+2x=180
o
5x=180
[x=36
o
]
Hence ∠A=3x=108
o
& ∠B=2x=72
o
[∠A=∠C=180
o
] & [∠B=∠D=72
o
].
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