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Question
in \\( \triangle lmn, mn = 8, nl = 13 \\), and \\( lm = 9 \\). which statement about the angles of \\( \triangle lmn \\) must be t
answer
\\( \bigcirc m\angle l>m\angle n>m\angle m \\) \\( \bigcirc m\angle l>m\angle m>m\angle n \\)
\\( \bigcirc m\angle n>m\angle m>m\angle l \\) \\( \bigcirc m\angle n>m\angle l>m\angle m \\)
\\( \bigcirc m\angle m>m\angle l>m\angle n \\) \\( \bigcirc m\angle m>m\angle n>m\angle l \\)
Step1: Recall the triangle side - angle relationship
In a triangle, the larger side is opposite the larger angle.
Step2: Compare the side lengths
Given \(MN = 8\), \(NL=13\), \(LM = 9\). So \(NL>LM>MN\).
Step3: Determine the angle order
Since \(NL\) is opposite \(\angle M\), \(LM\) is opposite \(\angle N\), and \(MN\) is opposite \(\angle L\). So \(m\angle M>m\angle N>m\angle L\).
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\(m\angle M > m\angle N > m\angle L\)