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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.

1
by rohitbajpai

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by rohitbajpai

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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