Question

The maximum number of the diagonals drawn from a vertex of a polygon is 8. a) Find the number of sides of the polygon. (1) b) Find the sum of the angles of the polygon. ​

Answer 1

A) THERE ARE SIX SIDES IN A POLYGON

Answer 2

Maximum no. of diagonals for a

n

n-sided polygon is given by

2

n(n−3)

1) If n=2

2

12(12−3)

=6×9=54

(2) If n=15

2

15(15−3)

=15×6=90

(3) for a decagon

n=10

2

10(10−3)

=35.

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