Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that)


What can you say about the angle sum of a convex polygon with number of sides?


A. 7


B. 8


C. 10


D. n


From the table, it can be concluded that the angle sum of a convex polygon of n sides

is (n −2) × 180°.


Hence, the angle sum of the convex polygons having number of sides as above will be as follows:


A. Given number of sides =7


Therefore,


(7 − 2) × 180o = 900°


B. Given number of sides = 8


Therefore,


(8 − 2) × 180o = 1080°


C. Given number of sides = 10


Therefore,


(10 − 2) × 180o = 1440°


D. Given number of sides =n


Therefore,


(n − 2) × 180o


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