Question

name the figure.
∠hig
△ghi
∠ihg
∠gih

Explanation:

Step1: Recall the angle naming rule

An angle is named with the vertex in the middle. In the given figure, the vertex is \(H\).

Step2: Check each option

• For \(\angle HIG\), the vertex is \(I\), which is incorrect.
• For \(\triangle GHI\), it is a triangle, not an angle.
• For \(\angle IHG\), the vertex is \(H\), which is correct as per the angle - naming rule (vertex in the middle).
• For \(\angle GIH\), the vertex is \(I\), which is incorrect.

Answer:

\(\angle IHG\)