Question

look at this angle: name this angle in three different ways: and and

Explanation:

Step1: Use the vertex - first naming method

An angle can be named with the vertex in the middle. Here, the vertex is \(G\). So one way is \(\angle HGI\) (using the three points \(H\), \(G\), \(I\) with \(G\) as the vertex).

Step2: Use the vertex - only naming method (when there is no ambiguity)

Since there is only one angle at vertex \(G\) in the given figure, we can name it \(\angle G\).

Step3: Use the reverse - order of the first method

Another way using the three - point naming (with the vertex in the middle) is \(\angle IGH\).

Answer:

\(\angle G\), \(\angle HGI\), \(\angle IGH\)