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

Answer 1

(a) When n = 7, then Angle sum of a polygon $=(n-2)\times {180}^{\circ }=(7-2)\times {180}^{\circ }=5\times {180}^{\circ }={900}^{\circ }$

(b) When n = 8, then Angle sum of a polygon $=(n-2)\times {180}^{\circ }=(8-2)\times {180}^{\circ }=6\times {180}^{\circ }={1080}^{\circ }$

(c) When n =10, then Angle sum of a polygon $=(n-2)\times {180}^{\circ }=(10-2)\times {180}^{\circ }=8\times {180}^{\circ }={1440}^{\circ }$

(d) When n =n, then Angle sum of a polygon $=(n-2)\times {180}^{\circ }$