Question

The supplement of an angle is four and a half times as large as the complement of the angle. What is the measure of the complement angle to the nearest hundredth of a degree? A) 14.28° B) 16.37° C) 18.91° D) 25.71°

Answer 1

d

Explanation:

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Answer 2

Explanation:

Alright, lets get started.

Suppose the angle is x .

Its supplement angle is =
`180-x`

Its complement angle is =
`90-x`

given that, supplement of an angle is four and a half times as large as the complement of the angle.

It means the equation will be :

`(180-x)=4.5(90-x)`

`180-x=405-4.5x`

taking similar terms aside

`4.5x-x = 405-180`

`3.5x =225`

Dividing 3.5 in both sides

`x=(405)/(3.5) =115.71`

So the angle is 115.71

So,its complement angle will be =
`115.71-90=25.71`

So the answer is 25.71 : Answer

Hope it will help :)