Question

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

Answer 1

36°

Explanation:

let x be the required angle then

x =
`(2)/(3)` ( 90 - x) [ complementary angles sum to 90° ]

x = 60 -
`(2)/(3)` x ( add
`(2)/(3)` x to both sides )

`(5)/(3)` x = 60 ( multiply both sides by
`(3)/(5)` )

x = 36°

note 36° is
`(2)/(3)` of 54°