Question

2. A polygon is divided into triangles by drawing a maximum of 17 diagonals from one of

its vertices .

a) What is the number of sides of the polygon ?

b) How many triangles are obtained ?

c) What is the sum of the angles of the polygon ?​

Answer 1

Step-by-step explanation:

Diagonal is the line joining of two points which are not adjacent. so from one point we can draw n-2 diagonals in one polygon of n sides

therefore n-2=17

a) n=17+2=19

b) n-2=19-2=17

c)sum of the angles of the polygon =(n-2) *180

=17*180

=3060 degree

Answer 2

Step-by-step explanation:

n=17+2=19

n=2=19-2=1sum of the angle of the Polygon =n- 21 180

= 17 180

= 3060 degree