Answer
Quadrant II
Work Step by Step
$\frac{-5\pi}{4}$ radians
It is a negative angle and obtained by rotating the terminal side clockwise $\frac{5\pi}{4}$ = $\pi$ + $\frac{\pi}{4}$ radians.
We use |$\frac{-5\pi}{4}$| or $\frac{5\pi}{4}$ to determine the rotation.
So $\frac{-5\pi}{4}$ radians lies in quadrant II.
Find the attachment.