Question

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

Answer 1

Answer:

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Step-by-step explanation:

Quadrilateral ABCD is a parallelogram. Let the measure of A and B be 5x and 4x, respectively. Thus, the measure of B is 80º.

Answer 2

Answer:

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

∘

∠B=4x=4×20

∘

=80

∘

The measure of ∠B is 80

∘

Step-by-step explanation:

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