math

Differences between the external angle and n-1 sides regular polygon and n+2 side regular polygon is 6 degree then what is the each external angle

  1. 👍 0
  2. 👎 0
  3. 👁 103
asked by sana
  1. If you know the rule between exterior angle θ and the number of sides, n:
    θ=360/n
    then
    360/(n-1)-360/(n+2)=6
    Solve for n, then calculate θ for each polygon.
    (answer is between 10 and 15, reject negative root)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The apothem of a regular polygon is the distance from the center to any side. If the length of the apothem remains constant at 10 inches, the formula for the perimeter of a regular polygon as a function of the number of sides is (

    asked by Anonymous on May 15, 2015
  2. Math

    Are the statements Always, Sometimes or Never. Please explain why. Thanks. 1. An equilateral polygon is regular. 2. The greater the number of sides of a regular polygon, the smaller the measure of any of its exterior angle. 3. The

    asked by Brianna on October 14, 2014
  3. math

    The exterior angle of a regular polygon is the angle formed by an extended side and the adjacent side. c) How do the central angel and the exterior angle of a regular pentagon compare? Is this relationship true in any regular

    asked by CAITLIN D. on May 17, 2009
  4. math--fast help please

    Find the interior and exterior angle measurements of a polygon with this many sides: x=2y help? I don't want the answer, I just would like to know how to do this one. I don't see why a number of sides is being specified as an

    asked by Emily on March 29, 2007
  5. math

    A side of regular polygon is 3.5 cm in length.the perimeter of the polygon is 17.5 cm. How many sides does the polygon have?

    asked by nimshi on September 30, 2012
  1. Geometry

    In a regular polygon (equal sides and angles), you use (n-2)180 to find out what the interior angle sum is (n=number of sides in polygon) and you divide by that number by whatever n is to find out the measure of an individual

    asked by Emily on September 27, 2007
  2. Geometry

    1. How many sides does a regular polygon have if one exterior angle is 90 degrees? 3 4 5 6 2. The measures of three angles of a quadrilateral are 80, 90, and 103 degrees. Find the measure of the fourth angle. 67 77 87 97 3. The

    asked by Justin on November 30, 2010
  3. algebra

    The apothem of a regular polygon is the distance from the center of the polygon to a side. Explain how to derive a formula for the area of a regular polygon using the apothem.

    asked by lucy on February 10, 2012
  4. algebra

    the apothem of a regular polygon is the distance from the center of the polygon to a side. Explaiin how to derive a formula for the area of a regular polygon using the apothem.

    asked by lucy needs help now on February 12, 2012
  5. math214

    A student asks whether a polygon whose sides are congruent is necessarily a regular polygon and whether a polygon with all angles congruent is necessarily a regular polygon. How do you answer?

    asked by alicia on February 16, 2010

More Similar Questions