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0 votes
12.8k views
in Mathematics by (30.0k points)

Is it possible to have a polygon ; whose sum of interior angles is :

870o 

1 Answer

+1 vote
by (55.2k points)
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Best answer

Let no. of sides = n 

Sum of angles = 870° 

(n – 2) x 180° = 870° 

n – 2 = 870/180

n – 2 = 29/6

n = 29/6 + 2 

n = 41/6

Which is not a whole number.

Hence it is not possible to have a polygon, the sum of whose interior angles is 870°

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