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One interior angle of a convex polygon (a convex polygon is a polygon where all anglesare less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides does the polygon have?

 Feb 20, 2021
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120 + 130x = 180 * (x+1-2)

 

120 + 130x = 180x - 180 

 

300 = 50x

 

x = 6

 

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

 

cheekycheekycheeky

 Feb 21, 2021

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