10. What is the sum of the angles of the following polygons,
a) Pentagon b) hexagon c) octagon.
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Answer
(i) Hexagon
Numbers of sides, and = 6
Sum of the interior angles = (2n-4)90°
= ((2 x 6)-4) x 90°
=(124)90°
= 8 x 90°
= 720°
Sum of the exterior angles = 360°.
(ii) Octagon
Numbers of sides, n = 8
Sum of the interior angles = (2n-4)90°
= ((2 x 8)-4) x 90°
= (1644)90°
= 12 x 90°
= 1080°
Sum of the exterior angles = 360°.
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