Given the question: I am a movie director and I just received the following movie plot. Could you help me answer this question? If not, let me know by writing "Not answerable". Plot title: The Kennel Murder Case Movie plot: Philo Vance's dog does not make it into the final of the Long Island Kennel Club's dog show. Fellow competitor Archer Coe (Robert Barrat) is disappointed, having hoped to savor a victory over Vance. Coe is found dead the next morning in his bedroom, locked from the inside. District Attorney Markham (Robert McWade) and Police Sergeant Heath (Eugene Pallette) assume it was suicide, because he was shot through the head and was found holding a pistol. Vance is not convinced. He soon finds evidence that Coe was murdered. Coroner Dr. Doremus (Etienne Girardot) determines the victim died of a stab wound. There is no shortage of suspects; Coe was very much disliked. His niece Hilda Lake (Mary Astor) resented her uncle's tight control of her finances and jealousy of any men who showed interest in her. Her boyfriend, Sir Thomas MacDonald (Paul Cavanagh), suspected Coe of killing his dog to ensure winning the competition. Raymond Wrede (Ralph Morgan), the dead man's secretary, was in love with Miss Lake, but had been laughed at when he sought Coe's support. Coe's next door neighbor and lover Doris Delafield (Helen Vinson) had been cheating on him with Eduardo Grassi (Jack La Rue). When Coe found out, he canceled a contract to sell his collection of Chinese artworks to the Milan museum for which Grassi worked. Liang (James Lee), the cook, had worked long, hard and illegally to help Coe amass his collection. He warned his employer against the proposed sale and was fired as a result. Even Coe's own brother Brisbane (Frank Conroy) despised Coe. Finally Gamble (Arthur Hohl), the head servant, had concealed his criminal past. Brisbane Coe becomes Vance's prime suspect. His alibi of taking a train at the time of the murder is disproved. When he is found dead in a closet, Vance is both puzzled and enlightened. Among Brisbane's effects, Vance finds a book titled Unsolved Murders; a bookmarked page details a method of using string to lock a door through the keyhole without leaving a trace. Part of the mystery is solved. Later, an... My question: How did Archer Coe die?
The answer is:
stabbed then shot