Question

WEGNERKOLMP OR SOMEONE WHO KNOWS MATHS

Half 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?

Answer 1

There are 36 sides

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