Question

If two supplementary angles are in the ratio 4:5, find them

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Answer 1

Answer:

ANSWER

Let two angles be 4x and 5x

Sum of supplementary angles is 180o

∴4x+5x=180o

9x=180o

x=9180=20o

So, one angle = 4x=4×20=80o

Another angle = 5x=5×20=100o

Larger of two angle is 100o 

Answer 2

Answer:

let 4x, 5x

4x+5x=180

9x=180

x=180/9

x=20

therefore, 4x

4×20

80

5x

5×20

100