what polygon has all exteeririor angle sums of 75 degrees? don't know need help like now!!!!!!!!!!
what is the sum of all angles in a 75 sided figure
What is the measure of ONE ANGLE inside a 75-sided figure?
To determine the polygon with exterior angle sums of 75 degrees, you need to know the formula for the sum of exterior angles of a polygon and then use algebra to find the number of sides.
The formula for finding the sum of the exterior angles of any polygon is:
Sum of Exterior Angles = 360 degrees
Let's say the number of sides in the polygon is 'n'. Each exterior angle in a polygon can be calculated by dividing the sum of exterior angles by the number of sides:
75 degrees = 360 degrees / n
To solve for 'n', we can isolate it by multiplying both sides of the equation by 'n':
75 degrees * n = 360 degrees
Next, divide 360 degrees by 75 degrees to find the value of 'n':
n = 360 degrees / 75 degrees
Simplifying this, we get:
n = 4.8
Since the number of sides of a polygon must be a whole number, it is not possible to have a polygon with exterior angle sums of exactly 75 degrees.
Therefore, there is no polygon that satisfies the condition of having all exterior angle sums equal to 75 degrees.
http://www.mathsisfun.com/geometry/exterior-angles-polygons.html
Each angle of a regular n-gon has angle of 360/n
So 360/n = 75
75n = 360
n = 4.8 , but n must be a whole number
There is no such polygon