2. ABCD is a parallelogram. The ratio of A and B of this parallelogram is
5: 4. Find the measure of B.
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Let the common multiple of the given ratio then
∴∠A=5x
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and∠B=4x
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□ ABCD is a parallelogram.
∴∠A+∠B=180
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[Adjacent angle of parallelogram are supplementary]
∴5x+4x=180
∘
⇒9x=180
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⇒x=180/9
⇒x=20
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∠B=4x=4×20
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=80
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The measure of ∠B is 80
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