Question

name the indicated angle
options: ∠hij, ∠mhj, ∠jmh, ∠hmg

Explanation:

Step1: Recall angle naming rules

An angle is named by its vertex and two rays (sides). The vertex is the middle letter in the angle notation.

Step2: Analyze each option

• $\angle HIJ$: Vertex is I, but the angle in the diagram has vertex M, so incorrect.
• $\angle MHJ$: Vertex is H, but the angle's vertex is M, so incorrect.
• $\angle JMH$: Vertex is M, with sides MJ and MH. This matches the angle formed at M by rays MJ and MH.
• $\angle HMG$: Vertex is M, but sides are MH and MG, not MJ, so incorrect.

Answer:

$\angle JMH$