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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asked Dec 8, 2016 37.0k views

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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?

Mathematics
middle-school

Adam Puza asked

by Adam Puza

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

6 sides

Daveagp answered Dec 14, 2016

by Daveagp

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