Maharashtra State BoardSSC (English Medium) 9th Standard
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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 `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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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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