Q. 33.5( 2 Votes )

Is the sum of the angles of any polygon 1600°? How about 900°?

Answer :

Given: Sum of the angles = 1600° and 900°

Sum of the angles of n-sided polygon = (n – 2) × 180°


1600° = (n – 2) × 180°



8.89 = n – 2


n = 8.89 + 2


n = 10.89


There is no polygon which have sum of the angles as 1600°.


When sum is 900°


Sum of the angles of n-sided polygon = (n – 2) × 180°


900° = (n – 2) × 180°



5 = n – 2


n = 5 + 2


n = 7


The number of sides of polygon having sum of the angles of 900° is 7 sides.


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