Polygons like triangle, rilateral, pentagon, hexagon, are drawn as shown below by increasing the number of sides one at a time:'(##VPU_TTT_MAT_X_P01_C01_E09_005_Q01##)'
i) Write the sequence of the sum of the. angles of each polygon.
ii) Write down the number of possible diagonals in each polygon as a sequence.
iii) Write down the algebraic form of the above two sequences.

Explanation

i) 180, 360, 540,…..
ii) 0,2,5,9,…..
iii)`x_(n) = 180n, x_(n)= (n(n-3))/2 [n = 3,4,5,….]`