What is the measure of the dent angle for a star-shaped polygon with 8 points and a point angle of 20 degrees?
8 points = 16 sides
Sum of interior angles of 16 sided polygon = 180*14 = 2520
Interior angles (point angles) = 8*20 = 160
Remaining = 2520 – 160 = 2360
Dent Angle = 2360/8 = 295 degrees
To find the measure of the dent angle in a star-shaped polygon, we can use the formula:
Dent Angle = 360° / Number of Points
In this case, there are 8 points on the star-shaped polygon. Therefore, we can calculate the dent angle as:
Dent Angle = 360° / 8
Now, let's calculate the dent angle:
Dent Angle = 45°
So, the measure of the dent angle for a star-shaped polygon with 8 points is 45 degrees.