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In the regular octagon below, find x.

 

 Nov 25, 2021
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The sum of the internal angles of an n-sided polygon is given by 180o • (n – 2)  

 

So for an octagon (8 sides) the sum of its internal angles equals 180o • (8 – 2)  

 

Doing the arithmetic, this sum is 1,080o    

 

Since it is a regular octagon, all internal angles are equal, so each one is 135o  

 

x is a supplementary angle of one of those 135o angles, so it equals 180o – 135o  

 

Thus, x = 45o  

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 Nov 25, 2021

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