Select the most appropriate one-word substitution for the given group of words.
To give one’s authority to another

Correct option is B

The correct one-word for the given group of words is "delegate."
Delegate means to entrust a task or responsibility to another person, typically one who is less senior than oneself.
Meanings of other options:
• Shirk: Avoid or neglect a duty or responsibility.
• Usurp: Take a position of power or importance illegally or by force.
• Supervise: Observe and direct the execution of a task, project, or activity.