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bree9362
25.06.2019 •
Mathematics
Wegnerkolmp or someone who knows mathshalf of the sides of a polygon are 8 degrees and the other exterior angles are each 12 degrees. how many sides has the polygon got?
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Ответ:
There are 36 sides
Step-by-step explanation:
The sum of the exterior angles of a polygon is 360 degrees
Let n = number of 8 degrees exterior angles
We know that n is also the number of 12 degree exterior angles ( 1/2 means that they are equal)
Multiply the number of angles by the degrees and add them up to get 360 degrees
n8 +n12 = 360
Combine like terms
20 n = 360
Divide by 20
20n/20 =360/20
n = 18
There are 18 8 degree sides and 18 12 degree sides
18+18 = 36
There are 36 sides
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