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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
∴ 4x + 5x = 180°x
⇒ 9x = 180°
⇒ x = 20°
Hence, 4x = 4 (20) = 80°
5( x) = 5(20) = 100°
∴ Angles are 80° and 100°
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