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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
回
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
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Chec k Yo u r Un d e r s t a n d i n g ; Ë 卫慧 B</ ; 3/ ï / ++
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: ' 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\
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6 150 7 170
- w 3 9 3 w
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