SOLUTION: find the number of sides of a convex polygon whose sum of the measures of its interior angles is 1260

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Question 267110: find the number of sides of a convex polygon whose sum of the measures of its interior angles is 1260

Answer by psbhowmick(878) About Me  (Show Source):
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For a convex regular polygon of n sides the sum of all the internal angles is equal to %28n-2%29%2Api.

To find the no. of sides,
%28n-2%29%2A180+=+1260
n-2+=+1260%2F180
n-2+=+7
n+=+7+%2B+2+=+9

Hence, the polygon has 9 sides.