Question

find a angle which is 2/3 of its complement​

Answer 1

Answer:

36°

Step-by-step explanation:

let x be the required angle then

x = $\frac{2}{3}$ ( 90 - x)  [ complementary angles sum to 90° ]

x = 60 - $\frac{2}{3}$ x ( add $\frac{2}{3}$ x to both sides )

$\frac{5}{3}$ x = 60 ( multiply both sides by $\frac{3}{5}$ )

x = 36°

note 36° is $\frac{2}{3}$ of 54°