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