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zysi [14]
4 years ago
14

The angles of a pentagon are in ratio

Mathematics
2 answers:
ivanzaharov [21]4 years ago
6 0

Answer:

  216°

Step-by-step 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

__

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°

Ainat [17]4 years ago
4 0
216* is the sum of measures of the smallest and largest angles
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