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one angle of a polygon measure 100degree. Each of thr remaining angles measures 145 degree. Find the number of the sides of polygon.

Answer :

The formula for the sum of angles is (n-2)*180 with n being the number of sides.
100+145*(n-1)=(n-2)*180
100+145n-145=180*(n-2)
145n+(100-145)=180*(n-2)
145n-45=180n-360
360-45=35n
315=35n
9=n
The answer is: this polygon has 9 sides

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