Question

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

Answer 1

Given : Two Supplementary angles are in the ratio 4 : 5.

Supplementary angles: Two angles, the sum of whose measures is 180°, are called supplementary angles :  

Let the two angles be 4x and 5x in degrees. Then :  

∴ 4x + 5x = 180°

⇒ 9x = 180°

⇒ x = 180°/9  

⇒ x = 20°

First angle = 4x  = 4 × 20° = 80°  

Second angle = 5x = 5 × 20° = 100°

Hence,  the measures of two angles are 80° and 100°.

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Answer 2

Supplementary angles: The angles which have their sum equal to 180°.

Let the angles be equal to 4x and 5x

4x + 5x = 180

=> 9x = 180

=> x = 20

Angles are 4x and 5x, that means 80° and 100°