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Five angles of a hexagon measure 119°, 129°, 140°, 129°, and 95°. What is the measure of the sixth angle?

 Feb 12, 2021
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Five angles of a hexagon measure 119°, 129°, 140°, 129°, and 95°. What is the measure of the sixth angle?   x 

 

The sum of the interior angles of any polygon with n sides can be calculated as 180o • (n – 2)  

 

The sum of the interior angles of a hexagon is 180o • (6 – 2)  =  720o    That's for all six angles.  

 

The other five angles 119o + 129o + 140o + 129o + 95o  total  612o   

 

So by subtraction,  720o – 612o  =  108o  is the size of the sixth angle.  

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 Feb 12, 2021

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