Question

an angle is 2/3of its complement. what is its magnitube?

Answer 1

Hey there!

Let the angle be 'x' 
∴ Complementary angle = 90-x

It's given,
x/(90-x) = 2/3
or 3x = 2*(90-x)
or 3x = 180-2x

Then,

3x+2x = 180
5x = 180
x = 180/5
x = 36°

Angle = 36°
The complementary angle = 90-36 = 54°

Hope it helps You!

Answer 2

An angle is 2/3 of its complement, What is its magnitude?

→ Let the angle be x.

Complement of angle is that angle which on adding makes the sum of both angles 90° .

So , complement of x = 90-x

As the question says ,

The angle x is 2/3 of its complement (90-x).

→ x = 2/3 × (90-x)

or, 3x = 2(90-x)

or, 3x = 180-2x

or , 3x+2x = 180

or, 5x = 180

or, x = 180/5

or, x = 36

So, if the angle x = 36

Then , It's complement = 90-36 = 54°

Answer → The angle is 36° and it's complement is 54°.
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