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How is the sumof the angle measures of a polygon related to the numbers of sides?
Draw a line from each corner to a single point inside the polygon. For n sides you have n triangles. Each triangle has a total of 180 degrees, so that makes 180n degrees. but we want the angles around the polygon only, so we have to subtract the angles round the point in the middle. which is 360 degrees = 2x180 degrees. So the result is (n-2)x180 degrees. Check: for a rectangle, n=4 giving 360 degrees OK. For a triangle n=3, giving 180 degrees OK. For a straight line (there and back) n=2, result 0 degrees OK.
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One exterior angle of a regular polygon measures 36 What is the sum of the polygon's interior angle measures?
1440 degrees
One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?
1440 degrees
What is a polygon with all the same angle measures?
A regular polygon
One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?
1800 degrees
What is the number of sides of a re gular polygon if one interior angle measures 108?
A polygon with interior angle measures of 108 would be a pentagon
What is the measure of each angle of a 15 sided polygon?
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees
What is a pentagon with one interior angle that measures 200o is a polygon?
Yes, a pentagon is a polygon, whatever the measures of its angles.
What is the sum of the polygon's interior angle measures if the exterior angle of a regular polygon's 36 degree?
1440 degrees
If a regular polygon measures 90 degrees what is the name of the polygon?
Right angle not polygon. (i'm not mad).
A polygon whose angle measurement add up to 360 degrees?
what polygon has angle measures that add up to 360
What type of polygon has measures of 60 degrees in each angle?
An equilateral triangle is a polygon that has a measure of 60o for each angle.
If the sum of interior angle measures of a polygon is 1080 how many sides does the polygon have?
8
