Question

if the supplement of an angel is 4 times of its complement,then find the angel​

Answer 1

Answer:

60

Step-by-step explanation:

let x = angle

180-x = 4(90-x)

180-x=360-4x

4x-x=360-180

3x=180

x=60

Answer 2

Question:

If the supplement of an angle is 4 times of its complement, then find the angle.

Answer:

The required angle is 60°

Note:

• Two angles are said to be complementary, if there sum is equal to 90°.

• Two angles are said to be supplementary, if there sum is equal to 180°.

Solution:

Let the required angle be x .

Thus,

The complement of the given angle will be (90° - x).

Also,

The supplement of the given angle will be (180° - x).

Now,

According to the question;

The supplement of the required angle is 4 times of its complement.

Thus,

=> (180° - x) = 4(90°- x)

=> 180° - x = 360° - 4x

=> 4x - x = 360° - 180°

=> 3x = 180°

=> x = 180°/3

=> x = 60°

Hence,

The required angle is 60° .