SOLUTION: How do find the measures of an interior angle and an exterior angle for each regular Polygon? Example.... Number 11. Quadrilateral Number 12. Pentagon Number 13. Dodecago

Algebra ->  Polygons -> SOLUTION: How do find the measures of an interior angle and an exterior angle for each regular Polygon? Example.... Number 11. Quadrilateral Number 12. Pentagon Number 13. Dodecago      Log On


   



Question 248417: How do find the measures of an interior angle and an exterior angle for each regular Polygon? Example....
Number 11. Quadrilateral
Number 12. Pentagon
Number 13. Dodecagon

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do find the measures of an interior angle and an exterior angle for each regular Polygon? Example....
Number 11. Quadrilateral
Each interior/exterior pair is supplementary.
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Number 12. Pentagon
If it is a regular pentagon each exterior angle is 360/5 = 72 degrees
The corresponding interior angles will be 180-72 = 108 degrees.
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Number 13. Dodecagon
If it is a regular regular dodecagon each exterior angle is 360/10
= 36 degrees. The corresponding interior angles will be 180-36 = 144 degrees.
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Cheers,
Stan H.