Supplementary angles have a sum of 180°.
Let's say one of these angles has a measure [tex]x[/tex]. The problem states that its supplemenbt is nine times this, so it has measure [tex]9x[/tex].
We know that these angles together equal 180°, so we can write [tex]x+9x=180[/tex].
We can solve for x.
[tex]10x=180\\x=18[/tex]
If x = 18, then the has a measure of [tex]9(18)[/tex], or 162°.
