Question

independent practice/homework
can ∠axe also be named ∠x? explain why or why not. use an example from the diagram to prove your answer.

Explanation:

An angle is named by its vertex and points on its rays. For an angle to be named with a single - letter, the vertex must be the only angle at that point. In the given diagram, point X is the vertex of multiple angles ($\angle AXE$, $\angle EXL$, $\angle AXL$ etc.). So, $\angle AXE$ cannot be named $\angle X$ because $\angle X$ would not clearly identify which of the multiple angles at vertex X is being referred to. For example, if we just say $\angle X$, it could mean $\angle AXE$, $\angle EXL$ or $\angle AXL$.

Answer:

No, $\angle AXE$ cannot be named $\angle X$ because there are multiple angles at vertex X.