Answer
$25^o$
Work Step by Step
RECALL:
An angle $\theta$, where $-360^o \lt \theta \lt 0$, is coterminal with:
$\theta+ 360^o$
Thus, theusing the formula above, given angle is coterminal with:
$=-335^o + 360^o
\\=25^o$
Thus, $-335^o$ is coterminal with $25^o$.
$25^o$ is in Quadrant I so $-335^o$ is also in Quadrant I.
RECALL:
The following are the means on how to find the reference angle of an angle $\theta$ based on its position:
(1) Quadrant I: $\theta$ (itself)
(2) Quadrant II: $180^o-\theta$
(3) Quadrant III: $\theta - 180^o$
(4) Quadrant IV: $360^o-\theta$
Use formula (1) above to obtain:
reference angle of $-335^o$ = reference angle of $25^o$, which is $25^o$.
