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

Question

asked Aug 16, 2019 31.3k views

1 Answer

Dickbarba · Answer 1 · 2019-08-20T08:19:00+0000

Supplementary angles have a sum of 180°.
Let's say one of these angles has a measure

. The problem states that its supplemenbt is nine times this, so it has measure

.
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°.