Question

name the indicated angle

options:
○ ∠kim
○ ∠iml
○ ∠ikl
○ ∠kmi

Explanation:

Step1: Recall angle naming rules

An angle is named by its vertex and two rays (sides). The vertex is the middle letter, and the other two letters are the endpoints of the sides.

Step2: Analyze the indicated angle

The indicated angle has vertex \( M \), one side along \( MI \) and the other along \( MK \). So the angle should be named with \( M \) in the middle, and the other two points \( K \) and \( I \) (or \( I \) and \( K \)) as the endpoints.

Step3: Evaluate the options

• \( \angle KIM \): Vertex is \( I \), incorrect.
• \( \angle IML \): One side is \( ML \), not \( MK \), incorrect.
• \( \angle IKL \): Vertex is \( K \), incorrect.
• \( \angle KMI \): Vertex is \( M \), sides \( MK \) and \( MI \), correct.

Answer:

\(\boldsymbol{\angle KMI}\)