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The dent angle of a star polygon is the angle formed by the bent line between two points that form the point angles. I found a PDF that defines the way to calculate that dent angle and checked it out with a know star. It works:
For a star polygon with n points and 2n congruent sides and a point angle of A:
the dent angle B = (360/n) + A
So for an 8 pointed star with a point angle of 20 degrees, the formula says:
(360/8) + 20 = 65 degrees
Note that if the point angle is 135 degrees it is really no longer a star polygon because the two (otherwise bent) line between each of the 8 point becomes 180 degrees. The above formula also proves that Equally for an 8 pointed star polygon formed by joining each second point (forming two over lapped squares, the resultant dent angle becomes 135 degrees. Again the formula confirms that angle. Two home-runs feels pretty good!
The URL reference is:
teach.valdosta.edu/plmoch/MATH3162/Spring%202009/11-3.pdf
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Is a star a convex polygon?
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
How many acute angles are in a 5 pointed star?
the answer is 5 each tip of the star is a acute angle and each angle on the inside of the star is an obtuse angle. there are 5 obtuse angles and no right angles.
Does a pentagram have 5 sides?
A pentagram is a five pointed star. A pentagon in a five sided polygon.
What shape has five sides and angles?
Pentagon
What is a polegon?
A polygon is a plane figure whose boundary is formed by straight lines. The simplest example is a triangle. A square, rectangle, kite, etc are common 4 sided polygons. Polygons can have angles that are greater than 180 degrees (reflex angles), so a 5 pointed star is a ten sided polygon. There is no limit to the number of sides a polygon can have. If all the sides and angles of a polygon have the same measures, it is called a regular polygon.
What angle does a star have?
It doesn't. It's a complex polygon with re-entrant sidesso has a number of angles depending on its shape.
How many obtuse angles are in a star?
Oh, what a happy little question! In a star shape, each point creates an angle. If we connect those points, we can see that each angle is less than 90 degrees, so there are no obtuse angles in a star. Just think of all those lovely acute angles coming together to make a beautiful star!
Is a star a regular polygon?
Yes. A star is a regular polygon.
Why is a star not a polygon?
The star is a polygon, but not a simple one. It is not simple because parts of the lines forming its boundaries are inside the star. The outline of a star is a simple polygon.
Name which shape has equal sides?
Any regular polygon, by definition has equal sides and angles. Also Rhombus and Star see the link
What polygon has five points?
it becomes a Star polygon
Is a ninja star a polygon?
Yes, a ninja star is a polygon. A polygon is a closed shape made up of straight line segments, and a ninja star typically has multiple straight edges and vertices. Specifically, a ninja star is often in the shape of a star polygon, which is a type of non-convex polygon with acute angles between its points.
Is a star a pollygon?
yes!, a star is a polygon
What does a concave polygon look like?
Easy answer: a star icon or the apple logo are examples of what a concave polygon looks like.A concave polygon has 1 interior angle greater than 180 degrees.you can see an example on:http://en.wikipedia.org/wiki/Convex_and_concave_polygonshttp://www.mathopenref.com/polygonconcave.html
Is star shape a polygon?
I do not no how about you find out what a polygon is then count the sides -A
What polygon is a star?
decagon
Would a star be an irregular polygon?
No. An irregular polygon is a polygon whose sides are pretty much out of control. They are usually not equal to any other one side. So, no, a star is actually a REGULAR polygon.
