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Answer :
The angles of KLM in order from largest to smallest are:
m∠ L, m∠ M, m∠ K
How to find the largest and smallest angles of a triangle?
In Angle-side relationship, we know that In a given triangle the sides opposite to the given angle are in the same order as the angles and vice versa. If we order the three angles in a triangle from smallest to largest the sides opposite to the angles will be in the same order. Thus the side opposite to the greatest angle will be the largest. A similar pattern applies for the angles when the sides are given, The angle opposite to the smallest side will be the smallest.
Thus:
Largest angle = ∠L
Second largest angle = ∠M
Third largest angle = ∠K
Complete question is:
In △ KLM, LM=11, MK=18 , and KL=16.
Which list has the angles of ΔKLM in order from largest to smallest? Answer:
m∠ L, m∠ K, m∠ M
m∠ M, m∠ K, m∠ L
m∠ K, m∠ L, m∠ M
m∠ L, m∠ M, m∠ K
m∠ M, m∠ L, m∠ K
m∠ K, m∠ M, m∠ L
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