2
Scanned by CamScanner 1 ampl e4 F I n d E x t e r I 0 r N e i e Masuresof a po l y g o n a A LGEBRA F i n d t h e v a l ue o f x i n t h e d i a g r am U s e t h e P o l y g on Ex t er i o r A n g l es Su m 1h eore m t o w r i t e a n e q ua t i o n T h en s o l ve f o r x ( 2 x 5 ) + 5x + 2 x + ( 6x 5 ) + ( 3 x + 10 ) = 3 60 ( 2 x + 5 x + 2 x + 6 x + 3 x ) + 1 5 + ( 5 ) + 10 = 3 60 l {6x 5) 1 8 x x = 3 6 0 3 . r 20 f i b l d y T i p d sub w Y e q u a t i o n ce a n 9 11 = 3 60 Po l yg o n Ex t e r i o r An g :e s Su m The or e m a n g le n = 4 0 Di v i de e ac h s i d e b y 9 T h e m eas u r e o f ea c h e x t er i o r an g l e o f a r e g u l a r n ona g on i s 4 0 (2x m Gu id e dp rac t ice 4A F i n d t h e v a l ue o f x I : 1 ci +z t i ng : ar ' 1 : " j - 4 B F i n d t h e m e a suw r : ¬ . : c þ , 1x B ¢ j ; n : h $ : ì , : v í r e g u l a r d o d e ca a · T : : : : 9x 6x ° C hec k Y o u r Un d e rs t a n d i n g ; Ë 卫慧 B < / ; 3/ ï / ++ : " : ' I 4 U ï . · ì E xam p le 1 F i n d t h e su m o f t h e m easur es o f t h e i n t e D o r a n g l e s o f eac h co nv e x p o l yg o : I 1 Deca g on 2 p en t a g o n Fi n d t h e m easu r e o f e a c h i n t e r i or an g l e 3 x Y 4 2) ° B ( x 8) ° x ° 2× 7 (x+7 F < ( x 4) c - E D h a m p l e 2 AMU SEMENT T h e W o n d e r W h ee l a t C o n e y I s l a n d . m Br oo kl y n , N ew Yo r k , i s a r e g u l ar p o l y g o n w i t h o f t h e p o l y g o n ? 16 s i d es W ' a t i s t h e me as ur e o f e ac h i n t e r i or a n g l e ®/§ g m p l e 3 Th e m e asu r e o f a n i n t e r i or a n g l e o f a e u l a r o l g on ° d i s g i v e n Fi n d t h e n u m b e r o f s i d es i n t h e p o l y g o n \ 1 6 150 7 1 70 - w 39 3 w

New Doc 3 - GEOMETRYkirkseymath-geom.weebly.com/uploads/2/3/0/6/... · Scanned by CamScanner 1 ampl e4 FI n d E x ter I 0 r N eie Masuresof a polygon a ALGEBRA Fi n d the av lu e

  • Upload
    others

  • View
    0

  • Download
    0

Embed Size (px)

Citation preview

Page 1: New Doc 3 - GEOMETRYkirkseymath-geom.weebly.com/uploads/2/3/0/6/... · Scanned by CamScanner 1 ampl e4 FI n d E x ter I 0 r N eie Masuresof a polygon a ALGEBRA Fi n d the av lu e

Scanned by CamScanner

1 ampl e4 F I n d E x t e r I 0 r N eie Masuresof a po lygo na A LGEBRA F i n d t h e v a l u e o f x i n t h e d i a g r a m

U s e t h e P o l y go n Ex t e r i o r A n g l e s Su m 1h e o r e m t ow r i t e a n e q u a t i o n T h e n s o l v e f o r x

(2 x 5 ) + 5x + 2x + (6x 5) + (3 x + 10 ) = 360(2 x + 5x + 2 x + 6x + 3x ) + 1 5 + ( 5) + 10】 = 360 l {6x 5)

1 8 x

x

= 3 6 0

3 . r 20

fibldyTip

d subw Y e q u a t i o n

ce a n

9 11 = 360 Po lygo n Ex t e r io r An g:e s Su m The o re ma ngle

n = 40 Div ide e a c h s ide by 9

T h e m e a s u r e o f e a c h e x t e r i o r a n gl e o f a r e g u l a r n o n a g o n i s 4 0

(2x m

Gu i d e d p ra c t ic e

4A F i n d t h e v a l u e o f x I : 1 ci +z t i ng : a r '1 :" j

-

4B F i n d t h e m e a s u w r : ¬ . : c þ, 1x B¢ j ; n : h $ : ì , : v í

r e g u l a r d o d e c a a · T : : : : 9x

6x°

Chec k Yo u r Un d e r s t a n d i n g ; Ë 卫慧 B</ ; 3/ ï / ++

:

"

: ' I4Uï. · ìExample 1 F i n d t h e s u m o f t h e m e a s u r e s o f t h e i n t e D o r a n g l e s o f e a c h c o n v e x p o l y g o : I

1 De c a go n 2 p e n t a g o n

Fi n d th e m e a s u r e o f e a c h i n t e r i o r a n g l e

3 x Y 4 2) °

B (x 8) °

x °

2× 7 (x + 7

F <(x 4) c

- E D

hample 2 AMUSEMENT T h e W o n d e r W h e e l a t C o n e y I s l a n d.

m B r o o k l y n , N e w Yo r k

, i s a r e g u l a r p o ly go n w i th

o f th e p o l ygo n ?

16 s id e s W ' a t i s th e m e a s u r e o f e a c h i n t e r i o r a n g l e ®/ § gmple 3 Th e m e a s u r e o f a n i n t e r i o r a n g l e o f a e u l a r o l g o n ° d

i s g i v e n Fi n d t h e n u m b e r o f s i d e s i n t h e p o l y g o n

罐 ザス\

1

6 150 7 170

- w 3 9 3 w

Page 2: New Doc 3 - GEOMETRYkirkseymath-geom.weebly.com/uploads/2/3/0/6/... · Scanned by CamScanner 1 ampl e4 FI n d E x ter I 0 r N eie Masuresof a polygon a ALGEBRA Fi n d the av lu e

Scanned by CamScanner