Question

name the marked angle in 2 different ways.
m
n
k
l
answer attempt 2 out of 2
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Explanation:

Step1: Identify the vertex and sides

The marked angle has vertex \( L \), and its sides are \( LM \) and \( LN \). So one way to name it is using the vertex and the two points on the sides: \( \angle MLN \).

Step2: Use the vertex alone (if unique)

Since the angle at \( L \) between \( LM \) and \( LN \) can also be named by its vertex (assuming it's clear from context), another way is \( \angle L \). But more accurately, using the three - point notation with the vertex in the middle, and also, since the angle is at \( L \) between \( M \) and \( N \), we can also name it as \( \angle NLM \) (order of the non - vertex points can be reversed as long as the vertex is in the middle). Wait, actually, the two common ways are using the three - point notation (with vertex in the middle) and sometimes by the vertex if there's no ambiguity. But in this case, the two standard ways are:

1. Using three points: The angle is formed by points \( M \), \( L \), \( N \), so \( \angle MLN \) (vertex \( L \) between \( M \) and \( N \)).
2. Using the vertex and the two rays: Since the sides are \( LM \) and \( LN \), another way is \( \angle NLM \) (or also, if we consider the angle at \( L \) between \( M \) and \( N \), we can also name it as \( \angle L \) but more precisely, the three - point names. Wait, actually, the two correct three - point names are \( \angle MLN \) and \( \angle NLM \), or one can be \( \angle L \) (if there's only one angle at \( L \) in context, but in the diagram, the marked angle is between \( LM \) and \( LN \)). So the two ways are \( \angle MLN \) and \( \angle L \) (or \( \angle NLM \)). But the most accurate three - point names are with the vertex in the middle. So first way: \( \angle MLN \), second way: \( \angle L \) (or \( \angle NLM \)). But let's go with the three - point and the vertex.

Answer:

\( \angle MLN \), \( \angle L \) (or \( \angle NLM \), \( \angle L \))