Question

an angle is 2/3 of its complement . what is the magnitude

Answer 1

Let the required angle be x.
The its complementary angle = 90-x
Given, x/(90-x) = 2/3
3x = 2*(90-x)
3x = 180-2x

3x+2x = 180
5x = 180
x = 180/5
x = 36 degrees.
Its complementary angle = 90-36 = 54 degrees.

Answer 2

Answer:

An angle 2/3 of its complement is 36 degrees.

Step-by-step explanation:

Given:

An angle is 2/3 of its complement.

To find:

the magnitude

Step 1

Let the required angle be x.

Complementary angles sum to a right angle (90 degrees).

x + (2/3) x = 90

Simplifying the above equation as,

(3/3)x + (2/3)x = 90

(5/3)x = 90

x = 90(3/5)

x = 54 degrees

Step 2

The angle exists 2/3 of this

The angle is (2/3)54 = 36 degrees

An angle 2/3 of its complement is 36 degrees.

#SPJ3