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Answer:
C, B, D
Step-by-step explanation:
We can estimate the relative lengths of the segments using the difference of their coordinates:
BC = (2-0, -5-6) = (2, -11)
CD = (-8-2, -1-(-5)) = (-10, 4)
DB = (0-(-8), 6-(-1)) = (8, 7)
Then the lengths of the segments will be ...
BC = √(2^2 +11^2) = √125
CD = √(10^2 +4^2) = √116
DB = √(8^2 +7^2) = √113
DB is the shortest segment, so opposite the smallest angle, C.
The next-shortest segment is CD, opposite angle B.
The longest segment is BC, opposite angle D.
In order from least measure to greatest, the angles are C, B, D.
