The board is parallelogram in shape such that measures of two adjacent angles of a parallelogram are in the ratio 5 : 4 and adjacent sides are 30 cm and 60 cm.
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Let ∠A and ∠B are two adjacent angles.
But we know that sum of adjacent angles of a parallelogram is 180
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∠A+∠B=180
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Given that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x
∠A+∠B=180
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4x+5x=180
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9x=180
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x=180/9
x=20
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∠A=4x=4×20=80
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∠B=5x=5×20=100
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Also ∠B+∠C=180
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[Since ∠B and
∠C are adjacent angles]
100
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+∠C=180
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∠C=180
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−100
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=80
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Now, ∠C+∠D=180
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[Since ∠C and
∠D are adjacent angles]
80
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+∠D=180
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∠D=180
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−80
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=100
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