Finding the Sum of Interior Angles in a Regular Polygon
Question 4Exa...
Question
Question 4 Examine the table. ( Each figure is divided into triangles and the sum of the angles deduced from that) What can you say about angle sum of a convex polygon with number of sides?
(a) 7 (b) 8 (c) 10 (d) n
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Solution
(a) When n = 7, then Angle sum of a polygon =(n−2)×180∘=(7−2)×180∘=5×180∘=900∘
(b) When n = 8, then Angle sum of a polygon =(n−2)×180∘=(8−2)×180∘=6×180∘=1080∘
(c) When n =10, then Angle sum of a polygon =(n−2)×180∘=(10−2)×180∘=8×180∘=1440∘
(d) When n =n, then Angle sum of a polygon =(n−2)×180∘