contestada

the table below illustrates the relationship between the number of sides in any given polygon and the sum of the angle measures of that polygon which of the following best explains this relationship

the table below illustrates the relationship between the number of sides in any given polygon and the sum of the angle measures of that polygon which of the fol class=

Respuesta :

Determne the linear relaion between number of sides and sum of angles of polygon.

[tex]\begin{gathered} A-180=\frac{360-180}{4-3}(n-3) \\ A-180=180(n-3) \\ A=180(n-3)+180 \\ =180(n-2) \end{gathered}[/tex]

Thus relation between sum of angles of a polygon and n uymber of sdies is 180(n - 2).