Question

Hi, can you help me to find (if passible) the complement andsupplement of the angle 3pi/ 4.

Answer 1

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.

In radians this are

$\begin{gathered} \frac{\pi}{2}\text{ for }90\degree \\ \pi\text{ for }180\degree \end{gathered}$

To find the complement of 3π/4, subtract it by π/2

$\frac{\pi}{2}-\frac{3\pi}{4}=-\frac{\pi}{4}$

To find the supplement of 3π/4, subtract it by π.

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