Answered

Find the number of sides of each of the two polygons if the total number of sides of the polygons is 15, and the sum of the number of diagonals is 36.

Sagot :

VilesXviz
let D be the number of diagonals
let n be the number of side per polygon

formula :

[tex]D= \frac{n}{2}(n-3) [/tex]

by trial and error

let n = 9

[tex]D= \frac{9}{2}(9-3) [/tex]

[tex]D=27[/tex]

let n = 6

[tex]D= \frac{6}{2}(6-3) [/tex]

[tex]D=9[/tex]

D = 9 +27
D = 36