Question

Find an angle whose compliment is 1/4 of it

Answer 1

sum of complementary angles=90°

let one of the angle be x°.then the complementary angle=90°-x°.

as per question,

$x = (90 - x) \div 4 \\ = 4 \times x = 90 - x \\ = 4x + x = 90 \\ = 5x = 90 \\ = x = 18$

one of the angle is x=18°.

the other angle is (90-x)=72°

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