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Find angle x, in degrees.

 

 Jun 26, 2021

Best Answer 

 #2
avatar+151 
+4

yeah it seems to be glitched -- but i somehow managed to see the image by clicking around LOL

 

 

 

the exterior angles of a polygon ALWAYS add up to $  180^\circ $

 

since we know that, we can write the sum of all that we are given and write it all equal to $ 180^\circ $

 

$ \large[ (5x+4)+(4x+9)+(9x-6)+(4x+1)+(7x+4)=180 \large]^\circ $

 

$(5x+4+4x+9+9x-6+4x+1+7x+4=180)^\circ $

 

$ ( 29x+12=180)^\circ $

 

$ ( 29x=168)^\circ  $

 

$ \boxed{ (x=\frac{168}{29}})^\circ  $ which we can say just about $ \boxed{5.8^\circ}  $

 Jun 26, 2021
 #1
avatar+2244 
+1

I can't see the image. 

 

=^._.^=

 Jun 26, 2021
 #2
avatar+151 
+4
Best Answer

yeah it seems to be glitched -- but i somehow managed to see the image by clicking around LOL

 

 

 

the exterior angles of a polygon ALWAYS add up to $  180^\circ $

 

since we know that, we can write the sum of all that we are given and write it all equal to $ 180^\circ $

 

$ \large[ (5x+4)+(4x+9)+(9x-6)+(4x+1)+(7x+4)=180 \large]^\circ $

 

$(5x+4+4x+9+9x-6+4x+1+7x+4=180)^\circ $

 

$ ( 29x+12=180)^\circ $

 

$ ( 29x=168)^\circ  $

 

$ \boxed{ (x=\frac{168}{29}})^\circ  $ which we can say just about $ \boxed{5.8^\circ}  $

UsernameTooShort Jun 26, 2021
 #3
avatar+2244 
+1

Nice solution. :))

 

=^._.^=

catmg  Jun 26, 2021
 #4
avatar
+1

i thought the exterior angles added up to 360...

 Jun 26, 2021
 #5
avatar+2244 
+1

I think you're right. 

Using the same solution idea as UsernameTooShort. 

29x + 12 = 360

x = 12

 

=^._.^=

catmg  Jun 26, 2021
 #6
avatar+151 
+1

oh lord i never noticed -- yes they indeed do add up to 360

 

at that moment i was working with triangles so thats why i was thinking of 180 LOL

UsernameTooShort  Jun 27, 2021

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