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) × 180^{o} = 900°

B. Given number of sides = 8

Therefore,

(8 − 2) × 180^{o} = 1080°

C. Given number of sides = 10

Therefore,

(10 − 2) × 180^{o} = 1440°

D. Given number of sides =n

Therefore,

(n − 2) × 180^{o}

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