Question

two complementary angles are in the ratio 213 .find the angles​

Answer 1

Answer :-

Let a angle be x

Complementary angle = 90 - x

According to the question :-

Complementary angles are in the ratio 2 : 3

So,

$\implies\sf x : 90 - x = 2 : 3$

$\implies\sf \dfrac{x}{90-x} = \dfrac{2}{3}$

$\implies\sf 3(x) = 2(90 - x)$

$\implies\sf 3x = 180 - 2x$

$\implies\sf 3x + 2x = 180$

$\implies\sf 5x = 180$

$\implies\sf x = \dfrac{180}{5}$

$\implies\sf x = 36$

Complementary = 90 - x

= 90 - 36

= 54

Complementary angles = 36° and 54°