The angles in ΔJKL in order from largest to smallest is ∠J>∠L>∠K.
We need to list the angles in ΔJKL in order from largest to smallest.
What is the triangle inequality theorem?
If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
Converse: If one angle in a triangle is larger than another angle in a triangle, then the side opposite the larger angle will be longer than the side opposite the smaller angle.
Now, from the ΔJKL:
∠J is the larger angle opposite to the longer side KL.
∠K is the smaller angle opposite to the smallest side KL.
Order from largest to smallest angle is ∠J>∠L>∠K.
Therefore, the angles in ΔJKL in order from largest to smallest is ∠J>∠L>∠K.
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