ameliaaa1 ameliaaa1

25-10-2015
Mathematics

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A n-sided polygon has interior angles of which 4 of them are of sizes 125。, 220。, 40。and 295。 and the remaining are of sizes 20。each. How many sides does the polygon have?

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konrad509 konrad509

25-10-2015

[tex]125+220+40+295+20(n-4)=\\680+20n-80=\\ 20n+600\\\\ 20n+600=180(n-2)\\ 20n+600=180n-360\\ 160n=960\\ n=6 [/tex]

6 sides

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