Question

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

Answer 1

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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° .

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Answer 2

Answer:

60

Explanation:

ATQ,

let's assume the angle = x

(180-x)=4(90-x)

180-x=36-4x

4x-x=360-180

3x= 180

x= 60

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