Question

in a regular polygon the inner angle 3 tomea of iys outer angle. haw many side does have​

Answer 1

Answer:

Solution 1:

If you know that the sum of the exterior angles of an n-gon is 360 degrees, and that in this case the exterior angle is 45 degrees, then the number of sides is 360/45 = 8.

Solution 2:

The sum of the measures of the interior angles of an n-gon is 180%28n-2%29. Divide this by n to get the average measure. Since each interior angle measures 135, we have

135+=+180%28n-2%29%2Fn, which can be solved to obtain n+=+8.

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