11

Angle Sum Angle Sum of a Polygonof a Polygon

Stage 5 - Year 9Stage 5 - Year 9

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22

2 x 180o =360o

180o

180o

Quadrilateral Quadrilateral (4)(4)

4-24-2

Angle Sum of a Polygon

33

3 x 180o =540o

180o

180o

180o

Pentagon (5)Pentagon (5)

5-25-2

Angle Sum of a Polygon

44

4 x 180o =720o

180o

180o

180o

Hexagon (6)Hexagon (6)

180o

6-26-2

Angle Sum of a Polygon

55

6 x 180o =1080o

180o

180o

180o

Octagon (8)Octagon (8)

180o

180o

180o

8-28-2

Angle Sum of a Polygon

66

S =(n – 2)x180S =(n – 2)x180oo

Polygon (n)Polygon (n)

n sides =n sides =

Angle Sum of a Polygon

77

Quadrilateral Quadrilateral (4)(4)

S = (n -2) x 180S = (n -2) x 180oo

= (4 -2) x 180= (4 -2) x 180oo

= 2 x 180= 2 x 180oo

= 360= 360oo

44

Angle Sum of a Polygon

88

Pentagon (5)Pentagon (5)

S = (n -2) x 180S = (n -2) x 180oo

= (5 -2) x 180= (5 -2) x 180oo

= 3 x 180= 3 x 180oo

= 540= 540oo

55

Angle Sum of a Polygon

99

Hexagon (6)Hexagon (6)

S = (n -2) x 180S = (n -2) x 180oo

S = (6 -2) x 180S = (6 -2) x 180oo

S = 4 x 180S = 4 x 180oo

= 720= 720oo

66

Angle Sum of a Polygon

1010

Hexagon (8)Hexagon (8)

S = (n -2) x 180S = (n -2) x 180oo

S = (8 -2) x 180S = (8 -2) x 180oo

S = 6 x 180S = 6 x 180oo

= 1080= 1080oo

88

Angle Sum of a Polygon

1111

S = (n -2) x 180S = (n -2) x 180oo

= (5 -2) x 180= (5 -2) x 180oo

= 3 x 180= 3 x 180oo

= 540= 540oo

55

120120oo

8585oo

130130oo

130130oo

yyoo

yy ++ 130130 ++ 120120 ++ 8585 ++ 130130 == 540540yy ++ 465465 == 540540oo

- 465 -465- 465 -465 yy == 7474oo

Angle Sum of a Polygon

1212

S = (n -2) x 180S = (n -2) x 180oo

= (6 -2) x 180= (6 -2) x 180oo

= 4 x 180= 4 x 180oo

= 720= 720oo

66120120oo

130130oo

130130oo

mmoo

mm ++ 130130 ++ 120120 ++ 130130 ++ 120120 ++ 130130 == 720720mm ++ 630630 == 720720oo

-630 -630-630 -630 mm == 9090oo

130130oo

120120oo

Angle Sum of a Polygon