Math, asked by Ayush9012534119, 1 year ago

find the angle whose supplement is 6 times its complement

Answers

Answered by smiriti007
2
6(90-x) = 180 - x

540 - 6x = 180 - x

540 - 180 = 6x - x

5x = 360

x = 360/5

x = 72°

The angle is 72°

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Answered by star4576
0
If sum of two angles equals to 90 degree they are said to be complement
If sum of two angles equals to 180 degree then they are said to be supplement .

So,
Let angle be x
So supplement =180-x
Complement of angle =90-x
So,
180-x=6(90-x)
180-x=540-6x
6x-x=540+180
5x=720
x=144

Angle equals to 144

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