What is the measure of the point angle for a star-shaped polygon with 8 points and a dent angle of 130 degrees?
To find the measure of the point angle for a star-shaped polygon with 8 points and a dent angle of 130 degrees, you need to use a formula. The formula for the point angle of a star-shaped polygon, given the number of points (n) and the dent angle (α), is:
Point Angle = (180 - α) / n
In this case, the number of points (n) is 8, and the dent angle (α) is 130 degrees. Plugging these values into the formula, we get:
Point Angle = (180 - 130) / 8
Point Angle = 50 / 8
Point Angle ≈ 6.25 degrees
Therefore, the measure of the point angle for the given star-shaped polygon is approximately 6.25 degrees.