3.3 Sum of Interior
angles of a Polygon Figure 3.3 Figure 3.3 shows
an octagon. Five diagonals can be drawn from A. This gives rise to six triangles. Since
the sum of all internal angles of a triangle is 1800, the sum all the
internal angles of this polygon is 6 ´ 1800
= 10800. This can be generalized as : For
any n sided polygon the sum of its internal angles is ( n - 2 ) ´
1800. |