Final answer:
In 'A Jury of Her Peers,' it is inferred that Sheriff Peters got his job through local reputation and political processes, and his close relationship with the law is highlighted through the interactions in the text.
Step-by-step explanation:
From the dialogue presented in A Jury of Her Peers, we can infer that Sheriff Peters likely obtained his job through the typical socio-political processes of the time, which often involved a combination of reputation, local influence, and possibly electoral support. The text suggests a familiarity with the local community and a level of comfort in his interaction with the County Attorney, indicative of someone well-acquainted with local law enforcement responsibilities. Furthermore, Sheriff Peters's relationship with the law is emphasized when the County Attorney jokes that a sheriff's wife is 'married to the law,' underscoring the close connection between the sheriff's personal and professional life.