Question

Please help me with geometry questions ​

Answer 1

Answer:

$\angle NPM$

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