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The Angles of Quadrilateral Are in the Ratio 3: 5: 9: 13. Find All the Angles of the Quadrilateral. - Mathematics

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The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.

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Solution

Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13xrespectively.

As the sum of all interior angles of a quadrilateral is 360º,

∴ 3+ 5+ 9+ 13x = 360º

30= 360º

= 12º

Hence, the angles are

3x = 3 × 12 = 36º

5x = 5 × 12 = 60º

9x = 9 × 12 = 108º

13x = 13 × 12 = 156º

Concept: Another Condition for a Quadrilateral to Be a Parallelogram
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APPEARS IN

NCERT Class 9 Maths
Chapter 8 Quadrilaterals
Exercise 8.1 | Q 1 | Page 146

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