The investigation apparently led police to the juvenile, who was charged with murder.
The teen's identity has not been released.
Details of the crime are still under investigation. The exact cause of death will be determined by the medical examiner.
It is unknown if the teen will be charged as an adult.
Muglia reportedly worked as the office manager at the Cedar Grove Apartments in Highland Park. Neighbors say she is a divorced mother of two.
Anyone with information on her murder is asked call (732) 562-7650 or (732) 745-3809.