Respuesta :
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose the angle is x .
Its supplement angle is = [tex]180-x[/tex]
Its complement angle is = [tex]90-x[/tex]
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 :
[tex](180-x)=4.5(90-x)[/tex]
[tex]180-x=405-4.5x[/tex]
taking similar terms aside
[tex]4.5x-x = 405-180[/tex]
[tex]3.5x =225[/tex]
Dividing 3.5 in both sides
[tex]x=\frac{405}{3.5} =115.71[/tex]
So the angle is 115.71
So,its complement angle will be = [tex]115.71-90=25.71[/tex]
So the answer is 25.71 : Answer
Hope it will help :)
