Question

An angle is 2/3 of its complement .find its magnitude

Answer 1

Answer:

x= 36° and its complement =. 54°

Step-by-step explanation:

let angle be x.

its complement (90-x)

according to question

x=2/3×(90-x)

x= 180-2x/3

3x=180-2x

5x=180

x =180/5

x=36°

and its complement

=90-x

=90-36

=54°

hope it will help....

Answer 2

Answer:

✮ 36° ✮

Step-by-step explanation:

⇛ let the angle be x

complementary angle = 90 -x

⇛ 2/3(90 - x) = x

⇛180 - 2x = 3x

⇛ 2x + 3x = 180

⇛5x = 180

⇛ x = 180/5

⇛x = 36°

☛ hence answer will be 36°

☛and it's complement be 90- 36=54°