Answer:
216°
Explanation:
The ratio of the sum of smallest and largest to the total of all angles is ...
(9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4
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The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...
180°(5 -2) = 540°
Then the sum of smallest and largest angles is ...
0.4(540°) = 216°