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A.Same Value

1

Chapter 1

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B.Corresponding Angles

C.Alternate Angles

C.Interior Angles

2

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D.Special Angel For (M W )

< 1 = 180-110 < 2 = 85-70

=70 = 15

x+15=180

x=180-15 =165

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E.Example

x=47 ( alternate angles) < 1 = 180 - 112 - 47

= 21

y= 180 - 47 - 21

=112

2x=68 (alternate angles ) < 1 = 30 (alternate angles )

x=34 y+< 1 =180

y=180-30

= 150

4

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< 1 = 48

75+x+ < 1= 180 (interior angles)

x = 180 - 75 - 48

= 57

< 1 = 360 - 260 < 2 = 100

=100 (corr.angles)

x=100( alternate angles) 70+100+y = 180

y=10

5

Chapter 2

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Sides of a regular polygon=

360/ exterior

Exterior angle of a regular polygon=

360/n ( n= no.of the polygon )

C.Important otes

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interior angle + exterior angle = 180

Su of the exterior angles = 360

a! " ! # ! d !e are exterior angles

a+"+#+d+e = 360

D.Examples

8

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$ind the su of interior of heptagon.

(n-2)180

=(7-2)180

=00

$ind the si%e of an interior of de#agon.

(10-2)180 1440!10

=1440 =144

$ind the sides of the polygon &hose su of

interior is 1'60

(n-2)180=1260

(n-2)= 7

n=

ien that the exterior of a regular polygon is

30.$ind the sides of the polygon.

n = 360!30

= 12

E.Find angles

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(5-2)180 = 540

5x+2+3x+5+5x+10+4x+15+8x+8=540

25x + 40 = 540

25x= 500

x=20

F.Special !or $egular pol#gon

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