Answer: VW < UW < UV
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Explanation:
The exterior angle is 137, so the interior angle adjacent to that is 180-137 = 43. This is interior angle U of triangle UVW.
Let's find the missing angle W
U+V+W = 180
43+68+W = 180
111+W = 180
W = 180-111
W = 69
We have three three interior angles of triangle UVW
The longest side is opposite the largest angle, so the longest side is UV
The shortest side is opposite the smallest angle, so the shortest side is VW
The order of the sides from smallest to largest is
VW < UW < UV
Refer to the diagram below.
