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

Question:

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

Solution:

Supplementary angles are in the ratio 4: 5

Let the angles be 4x and 5x

It is given that they are supplementary angles

Hence 4x + 5x = 180

9x = 180

x = 20

Hence, 4x = 4 (20) = 80

5(x) = 5 (20) = 100

Hence, angles are 80 and 100

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