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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 |
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Answer» From the table, it can be observed that the angle sum of a convex polygon of n sides is (n −2) × 180º. Hence, the angle sum of the convex polygons having number of sides as above will be as follows. (a) (7 − 2) × 180º = 900° (b) (8 − 2) × 180º = 1080° (c) (10 − 2) × 180º = 1440° (d) (n − 2) × 180° |
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