Answer:
[tex]\angle NPM[/tex]
Step-by-step explanation:
Given
Circle of center P
Polygon JKLMN
Required
The central angle of JKLMN
From the question, we have that: the polygon and the circle have the same center (P).
This means that any central angle must pass through P
By this, PMN and NJK are incorrect
QPK divides the polygon and point Q is not on the vertex of the polygon.
By this, QPK is also incorrect
The final option NPM is correct, because P is at the center and points N and M are at the vertices of the polygon
