Question

a polygon of n sides has n(n-3)/2 diagonals . how many sides a polygon with 54 diagonals

Answer 1

Answer:

6 sides.................

Answer 2

Answer:

12 sides

Step-by-step explanation:

n(n - 3) ÷ 2 = 54

n(n - 3) = 108

n² - 3n - 108 = 0

$n_{1}$ = - 9 (not an answer for this task)

$n_{2}$ = 12

Given polygon has 12 sides.