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Sum

`square` ABCD is a parallelogram. the ration of `angle`A and `angle`B of this parallelogram is 5 : 4. Find the measure of `angle`B.

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#### Solution

Quadrilateral ABCD is a parallelogram.

Let the measure of `angle`A and `angle` B be 5x and 4x, respectively.

Now,

`angle` A + `angle` B = 180º

(Adjacent angles of a parallelogram are supplementary)

∴ 5x + 4x = 180º

⇒ 9x = 180º

⇒ x = 20º

∴ Measure of `angle`B = 4x = 4 × 20º = 80º

Thus, the measure of `angle`B is 80º.

Concept: Concept of Ratio

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