(CNN) Michael Andrew Jace, the actor who played a cop on the gritty FX series "The Shield," was sentenced Friday to 40 years in prison for the murder of his wife.

Jace, 53, was found guilty last month of shooting his wife to death at their Los Angeles home in front of the couple's two young sons, the Los Angeles district attorney's office said.

The actor was upset April Jace wanted a divorce and was obsessed with the belief that she was seeing someone else, Deputy District Attorney Tannaz Mokayef told jurors in her opening statement at trial.

Jace shot his wife once in the back after she arrived at the house on May 19, 2014, Mokayef said.

He then shot her two more times in her legs in front of their sons, who were ages 8 and 5 at the time, the prosecutor said.

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