Question
Two complementary angles are in the ratio 4 : 5. Find the angles.

Answer

Let the angles be 4x and 5x, respectively.
Then,
4x + 5x = 90
⇒ 9x = 90
⇒ x = 10º
Hence, the two angles are 4x = 4 × 10º = 40º and 5x = 5 × 10º = 50º.

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