Question

If number of diagonals of a regular polygon is 27.Then each of the interior angle of the polygon is:

Answer 1

14 is the answere i hope it helps u

Answer 2

Answer:

Step-by-step explanation:

the number of diagonals equal to N ( n - 3)/2 where n is number of sides

so by solving the equation and n ( n - 3)/2 = 27

n^2 -3 n -54= 0

we get

(n- 9) ( n+6)= 0

n-9=0

n= 9

interior angle of a polygon equal to

180( n -2 ) / n

so 180 (9 - 2 ) equal to 1260

so

1260/ 9 = 140