What is the measure of the dent angle for a star-shaped polygon with 8 points and a point angle
of 20°?
To find the measure of the dent angle for a star-shaped polygon, we need to know the total number of points or vertices in the polygon. In this case, you mentioned that the star-shaped polygon has 8 points.
The dent angle is the angle formed between two consecutive points of the star. To calculate it, we can use the formula:
dent angle = 360° / (number of points)
In this case, the number of points is 8, so by substituting it into the formula, we get:
dent angle = 360° / 8
= 45°
Therefore, the measure of the dent angle for a star-shaped polygon with 8 points is 45°.
It's important to note that the "point angle" you mentioned (20°) does not affect the calculation of the dent angle. The point angle refers to the angle formed at each vertex or point of the star, but it is not directly related to the dent angle.