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
9