Answer
(a) Quadrant III
(b) Quadrant I
Work Step by Step
$0°\lt\theta\lt90°$: Quadrant I
$90°\lt\theta\lt180°$: Quadrant II
$180°\lt\theta\lt270°$: Quadrant III
$270°\lt\theta\lt360°0°$: Quadrant IV
(a) Find the coterminal angle between $0°$ and $360°$:
$-132°50'+360°=227°10'$
Quadrant III
(b) Find the coterminal angle between $0°$ and $360°$:
$-336°+360°=24°$
Quadrant I
