Question

ABCD is a parallelogram. The ratio of angle A and B of this parallelogram is 5:4. Find the measure of angle B.

Answer 1

Answer:

80 degreeeeeeeeeeeeeereeeeee

Answer 2

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

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⇒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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