if the sum of all interior angles of a polygon is 2500°. Then how many degrees is each interior angle
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Given : Sum of all interior angles of a polygon is 2500°
To Find : how many degrees is each interior angle
Solution:
Sum of all interior angles of a polygon = ( n- 2) * 180°
where n is number of sides
=> ( n- 2) * 180° = 2500°
=> n - 2 = 250/18
which is not an integer
Hence polygon not possible
if Question is 2700°
then ( n- 2) * 180° = 2700°
=> n = 17
Number of sides = 17
if its a regular polygon then each angle = 2700/17 °
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