math

posted by .

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 polygon? Explain.

Help

  • math -

    You have posted several questions which are all based on the same principles
    already pointed out by 'drwls'

    Why don't you make a diagram of a regular polygon, sketch the 5 isosceles triangles created by joining the vertices to the centre.

    Wouldn't the central angle of each of those be 360/5º ? or 72º ?

    now work your way around the whole figure by finding all the angles, including the exterior angles formed by extending the sides

    I noticed 'drwls' already pointed out that the exterior angle is 360/(number of sides), in this case 360/5

    Isn't that the same as the central angle?
    Now repeat the argument for an n-sided regular polygon.

  • math -

    You've received good ideas from two math teachers. Your other posts have therefore been removed.

    If you have further questions, be sure to post what YOU HAVE DONE as well.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. please help!!!!! someone

    Each exterior angle of a regular polygon is 15 degrees. 1.Determine the number of sides of the polygon. 2.What is the sum of the interior angles?
  2. math--fast help please

    Find the interior and exterior angle measurements of a polygon with this many sides: x=2y help?
  3. MATH

    The exterior angle of a regular polygon is the angle formed by an extended side and the adjacent side. a)what is the measure of each interior angel of a regular pentagon. (There is apicture on the page and each side measures 21mm) …
  4. geometry

    1. An exterior angle of a regular polygon measures 30 degrees. What is the measure of an interior angle?
  5. Geometry

    1. How many sides does a regular polygon have if one exterior angle is 90 degrees?
  6. geometry

    The table shows the exterior angle measures for regular polygons. Which expression represents the exterior angle measure for any regular n-gon?
  7. geometry

    If the ratio of the interior angle to the exterior angle is 5:1 for a regular polygon, find a. the size of each exterior angle b. the number of sides of the polygon c. the sum of the interior angles d. Name the polygon
  8. Maths

    In a regular polygon,each interior angle doubles its corresponding exterior angle,find the number of side of the polygon?
  9. geometry

    Find the measure of each exterior angle of a regular polygon whose central angle measures 120 degrees.
  10. geometry

    the measure of each exterior angle of a regular pentagon is ____ the measure of each exterior angle of a regular nonagon greater than less than equal to** If i'm wrong can you please explain to me why i'm wrong?

More Similar Questions