question
in $ \triangle l m n $, $ m n = 8 $, $ n l = 13 $, and $ l m = 9 $. which statement about the angles of $ \triangle l m n $ must be
true?
answer
$ m \angle l m \angle n m \angle m $
$ m \angle l m \angle m m \angle n $
$ m \angle n m \angle m m \angle l $
$ m \angle m m \angle n m \angle l $
$ m \angle m m \angle l m \angle n $

Question

question
in $ \triangle l m n $, $ m n = 8 $, $ n l = 13 $, and $ l m = 9 $. which statement about the angles of $ \triangle l m n $ must be
true?
answer
$ m \angle l > m \angle n > m \angle m $
$ m \angle l > m \angle m > m \angle n $
$ m \angle n > m \angle m > m \angle l $
$ m \angle m > m \angle n > m \angle l $
$ m \angle m > m \angle l > m \angle n $

Accepted Answer

# Explanation:
## Step1: Recall the triangle side - angle relationship
In a triangle, the larger side is opposite the larger angle.
## Step2: Compare the side lengths
Given $MN = 8$, $NL=13$, and $LM = 9$. So, $NL>LM > MN$.
## Step3: Determine the angle order
Since $NL$ is the longest side, the angle opposite $NL$ ($\angle M$) is the largest. Since $LM$ is the middle - length side, the angle opposite $LM$ ($\angle N$) is the middle - sized. Since $MN$ is the shortest side, the angle opposite $MN$ ($\angle L$) is the smallest. So, $m\angle M>m\angle N > m\angle L$.

# Answer:
$m\angle M>m\angle N > m\angle L$ (the option corresponding to $m\angle M>m\angle N > m\angle L$ in the multiple - choice list)

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle side - angle relationship

Step2: Compare the side lengths

Step3: Determine the angle order

Answer: