The angles of a pentagon are in ratio

Mathematics

2 answers:

ivanzaharov [21]3 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]3 years ago

4 0

216* is the sum of measures of the smallest and largest angles

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$\bf \begin{array}{ccll}
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\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
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