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Two Supplementary Angles Are in the Ratio 4 : 5. Find the Angles. - Mathematics

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Two supplementary angles are in the ratio 4 : 5. Find the angles.

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Solution

Supplementary angles are in the ratio 4 : 5

Let the angles be 4x and 5x

It is given that they are supplementary angles

∴ 4x + 5x = 180°x

⇒ 9x = 180°

⇒ x = 20°

Hence, 4x = 4 (20) = 80°

5( x) = 5(20) = 100°

∴ Angles are 80° and 100°

Concept: Pairs of Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.1 | Q 5 | Page 7

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