Question

A regular polygon is drawn with 35 diagonals its interior angle will be

Answer 1

formula for diagonal of a regular polygon

Answer 2

Answer:

36°

Step-by-step explanation:

let the no of sides of the polygon be n

n(n-3)/2 = 35

n²-3n=70

n²-3n-70=0

n²-10n+7n-70 = 0

n(n-10) + 7 (n-10) = 0

(n-10) (n+7) = 0

n = 10

there number of sides = 10

interior angle = 360/10 = 36°