Which constitutional provision is related to the complaint about Standing Armies without legislative consent?

The Third Amendment addresses the concern regarding the presence and quartering of troops in private homes without the homeowner's consent. This amendment was directly influenced by the experiences of American colonists, who faced British soldiers being housed in their homes during the Revolutionary War, often without permission. The founding fathers included this provision to protect individual privacy and property rights, reflecting the belief that individuals should not be compelled to accommodate soldiers in times of peace without legislative approval.

This context reinforces why the Third Amendment is the correct answer to the question concerning complaints about standing armies and their quartering without legislative consent. The other amendments listed, while significant in their own right, do not specifically address the issue of military presence in civilian homes or the necessity of consent for lodging troops.