What is the measure of the dent angle for a star-shaped polygon with 8 points and a point angle of 20 degrees?
star polygon with n points and point angle, X, has a dent angle of:
dent angle = (360/n) + X
therefore, n=6 and X=20:
dent angle = (360/6) + 20 = 80
This would be 80º.
star polygon with n points and point angle, X, has a dent angle of:
dent angle = (360/n) + X
therefore, n=8 and X=20:
dent angle = (360/8) + 20 = 65
This would be 65 º.
To find the measure of the dent angle for a star-shaped polygon with 8 points and a point angle of 20 degrees, we can use the formula:
Dent Angle = 360 degrees / Number of points
In this case, the number of points is 8. Therefore, the formula becomes:
Dent Angle = 360 degrees / 8
Now, we can calculate the dent angle:
Dent Angle = 45 degrees
So, the measure of the dent angle for a star-shaped polygon with 8 points and a point angle of 20 degrees is 45 degrees.