Answer
a) Yes
b) Yes
Work Step by Step
a) It does have an incenter, for all of the perpendicular bisectors of the pentagon meet at a point, and a circle centered on this point can brush the sides of the pentagon without leaving the pentagon.
b) It does have an circumcenter, for all of the perpendicular bisectors of the pentagon meet at a point, and a circle centered on this point can touch every vertex of the pentagon.
