# Math Help - Trigonometry

1. ## Trigonometry

Find the supplement of the radian measure 7 π /8. Express your answer in terms of π .

2. Remember a while back when you had, say, 36 degrees; and you had to find the supplement ?

You set up this equation: $36 + x = 180$

And then solved for $x$.

We do the same, except now it's gonna be in terms of $\pi$.

So: $\frac{7\pi}{8} + x = 180$

$x = 180 - \frac{7\pi}{8}$

Subbing $2\pi$ for $180$ will make this easier:

$x = 2\pi - \frac{7\pi}{8}$

Get that common denominator: $\frac{16\pi}{8} - \frac{7\pi}{8} = \frac{16\pi - 7\pi}{8} = \boxed{\frac{9\pi}{8}}\;\;radians$