The board is a 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
∠A+∠B=180
Given that adjacent angles of a parallelogram are in the ratio 4:5 and let that ratio be multiple of x
∠A+∠B=180
4x+5x=180
9x=180
x=180/9
x=20
∠A=4x=4×20=80
∠B=5x=5×20=100
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