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Ratio of ∠A and ∠B for given parallelogram is 5 : 4
Let the common multiple be x.
m∠A = 5x°and m∠B = 4x°
Now ,
m∠A + m∠B = 180°
…[Adjacent angles of a parallelogram arc supplementary]
∴ 5x° + 4x°= 180°
∴ 9x° = 180°
∴ x° = 20°
∴ m∠B = 4x°= 4 x 20° = 80°
∴ The measure of ∠B is 800.
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3
angle A = 80°
angle B = 100°
hence it is helpful for you
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