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# □ Abcd is a Parallelogram. the Ratio of ∠ a and ∠ B of this Parallelogram is 5 : 4. Find the Measure of ∠ B. - Algebra

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Sum

square ABCD is a parallelogram. the ration of angleA and angleB of this parallelogram is 5 : 4. Find the measure of angleB.

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#### Solution

Quadrilateral ABCD is a parallelogram.
Let the measure of angleA 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 angleB = 4x = 4 × 20º = 80º
Thus, the measure of angleB is 80º.

Concept: Concept of Ratio
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#### APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Practice Set 4.2 | Q 4.1 | Page 63
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