A 20-sided shape

Geometry Level pending

As you can see in this shape, it is 20-sided so it is called an icosagon. Calculate the size of each of these interior angles (in degrees) of this polygon.

180 172 72 272 84 162 120 36

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Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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1 solution

Relevant wiki: Regular Polygons - Angle Sum

We can use the formula 180 ( n − 2 ) 180(n-2) and then divide by the number of sides.

180 ( 20 − 2 ) 20 \frac{180(20-2)}{20} which is equal to 3240 20 \frac{3240}{20}

which is then equal to

= 162 =162

2 Helpful 0 Interesting 0 Brilliant 0 Confused

@Hamz Jeorge The above formula is applicable only to Regular polygons. You have to mention this in the question that the figure is a regular icosagon then only you can come up with the answer i.e. 162°!

Toshit Jain - 4 years, 2 months ago

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yes, I should say it is regular. sorry but you can actually see in the picture

Syed Hamza Khalid - 4 years, 1 month ago

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