Answer
Part A:
Quadrant II
Part B:
Quadrant IV
Work Step by Step
Quadrant I has angles $0^{o}$ through $90^{o}$
Quadrant II has angles $90^{o}$ through $180^{o}$
Quadrant III has angles $180^{o}$ through $270^{o}$
Quadrant IV has angles $270^{o}$ through $360^{o}$
Part A:
Quadrant II because $90^{o} \leq 130^{o} \leq 180^{o}$
Part B:
Quadrant IV because $270^{o} \leq 285^{o} \leq 360^{o}$