When my mom's boyfriend gets mad, he unplugs the dryer, microwave and turns the AC up to 85 when he is not here, is that illegal?

No.

There are different avenues ones can take if they are living in an abusive household. Generally, a person commits the crime of abuse of a child if such person: (1) Knowingly inflicts cruel and inhuman punishment upon a child less than seventeen years old; or (2) Photographs or films a child less than eighteen years old engaging in a prohibited sexual act or in the simulation of such an act or who causes or knowingly permits a child to engage in a prohibited sexual act or in the simulation of such an act for the purpose of photographing or filming the act. If this abuse is occurring you need to call the police. Also, please see this link for the Department of Social Services and the hotline numbers to call. https://dss.mo.gov/cd/can.htm

Report him to Child Protective Services and have a talk with your mother, if you are 16 yrs old you could ask the court to emancipate yourself if you have another relative you could live with.