Question

if the sum of all interior angles of a polygon is 2500°. Then how many degrees is each interior angle

Answer 1

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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