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Mathematics 9 Online
OpenStudy (anonymous):

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?

OpenStudy (mertsj):

540

OpenStudy (anonymous):

thx man :D can u help me with 1 more?

OpenStudy (anonymous):

wait is 540 true?

OpenStudy (anonymous):

540 is correct. If the external angle is 72 degrees, the internal must be 108. Since we know that 108n=180(n-2), we can solve for n=5, at which point 108*5 gives us the total number of degrees.

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