SOLUTION: John is drawing a regular polygon. He has drawn two sides with an exterior angle measure of 45°, as shown below. When John completes his regular polygon, what will be the sum, i

Algebra ->  Polygons -> SOLUTION: John is drawing a regular polygon. He has drawn two sides with an exterior angle measure of 45°, as shown below. When John completes his regular polygon, what will be the sum, i      Log On


   

Question 726765: John is drawing a regular polygon. He has drawn two sides with an exterior angle measure of 45°, as shown below.
When John completes his regular polygon, what will be the sum, in degrees, of the measures of the interior angles?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
John is drawing a regular polygon. He has drawn two sides with an exterior angle measure of 45°, as shown below.
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Nothing is shown.
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When John completes his regular polygon, what will be the sum, in degrees, of the measures of the interior angles?
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The sum of exterior angles of ALL polygons is 360 degrees.
360/45 --> 8 sides
Each interior angle = 180 - 45 = 135 degs
8*135 = 1080 degrees