Question

name the indicated angle.
options: ∠hmi, ∠mlh, ∠gmh, ∠hml

Explanation:

To name an angle, we use the vertex in the middle and the two rays (sides) of the angle. The indicated angle has vertex \( M \) and sides \( MH \) and \( ML \).

• \( \angle HMI \): Vertex \( M \), sides \( MH \) and \( MI \) – not the indicated angle.
• \( \angle MLH \): Vertex \( L \), which is incorrect (vertex should be \( M \)).
• \( \angle GMH \): Vertex \( M \), sides \( MG \) and \( MH \) – not the indicated angle.
• \( \angle HML \): Vertex \( M \), sides \( MH \) and \( ML \) – this matches the angle with vertex \( M \) and sides along \( MH \) (green) and \( ML \) (green).

Answer:

\(\boldsymbol{\angle HML}\)