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+7
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avatar+2314 

How many sides would there be in a convex polygon if the sum of all but one of its interior angles is 1070 degrees?

 

I got that one of them is 10 degrees, but I can't find the sides..........

 Mar 27, 2020
 #1
avatar+111456 
+1

You're  on the right  track, Cal

 

1080   =  the sum of the interior angles

 

Assuming a regular polygon.....we have  

 

(n - 2) * 180   =  1080        divide both sides by 180

 

n - 2  =   6     add  2  to both sides

 

n  = 8   =    the number of sides

 

cool cool cool

 Mar 27, 2020
 #4
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0

 1080/8 = 135

 

1080-135 ≠ 1070laugh

Guest Mar 27, 2020
 #2
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0

This is an octagon with one of its interior angles of 10 degrees.

 Mar 27, 2020
edited by Guest  Mar 27, 2020
 #3
avatar+2314 
+1

Thank you, Chris!

CalTheGreat  Mar 27, 2020
 #5
avatar+661 
+1

Just a little side note:

You cannot assume it's regular... but you CAN find the average of the angles (as if it was regular)!

 Mar 29, 2020

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