Question

What is the measure of an angle that is nine times its supplement? degrees?

Answer 1

Supplementary angles have a sum of 180°.
Let's say one of these angles has a measure $x$. The problem states that its supplemenbt is nine times this, so it has measure $9x$.
We know that these angles together equal 180°, so we can write $x+9x=180$.

We can solve for x.
$10x=180\\x=18$


If x = 18, then the has a measure of $9(18)$, or 162°.