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

Answers (1)

The formula for the sum of angles is (n-2)x80

where n is the number of sides.

Given that

100+145x(n-1)=(n-2)x180
100+145n-145=180x(n-2)
145n+(100-145)=180x(n-2)
145n-45=180n-360
360-45=35n
315=35n
n = 9
the polygon has 9 sides

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