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Understanding Quadrilaterals
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06/08/2021 11:01 am
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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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06/08/2021 11:06 am
The angle sum of a polygon having side n = (n - 2) × 180°
(a) 7
Here, n = 7
Thus, angle sum = (7-2) × 180°
= 5 × 180° = 900°
(b) 8
Here, n = 8
Thus, angle sum = (8 - 2) × 180°
= 6 × 180° = 1080°
(c) 10
Here, n = 10
Thus, angle sum = (10-2) × 180°
= 8 × 180° = 1440°
(d) n
Here, n = n
Thus, angle sum = (n - 2) × 180°