posted by .

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 angle, right? Well, there is going to be a problem on tomorrow's geometry test where we are given the measure of an interior angle of a regular polygon (for instance, one angle=150 degrees), but I can't tell how to do that. I figured it would be something like this:

-------- = 150

But, it dosn't work out too well when I try to single out n. Can someone tell me how to do this?

P.S. Sorry that my explanation was so long -- I was trying to get the information out there :-) THANKS!!!

  • Geometry -

    Take an interior angle: 150 degrees. How many sides?

    the sum of interior angles is 150n (n angles, each 150 degrees)
    but (n-2)180= 150n (both are sum of interior angles, and equal, so
    n= 12

    \thats it.

  • Geometry -

    Oh -- I get it! Thank you so much for helping me out, I really needed that info for tomorrow's test. Thx!

  • Geometry -

    i have absolutely no idea how to do this!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math.

    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

    find the sum of the measures of the intieior angles of each polygon. -hexagon -pentagon -quadrilateral -octagon -16-gon -27-gon The key is the sum of the measures. All of these figures have the same total number of degrees in their …
  3. math

    The measure of an interior angle of a regular polygon is 135 degrees. Find the number of sides in the polygon. This is what I tried: 180(x-2)=135 [Interior Angle Sum Theorem] x-2=.75 x=2.75 That can't be right though. Help?
  4. math--fast help please

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

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

    The sum of the interior angles of polygon is 1800. Find the number of sides in the polygon and, what do you call that polygon?
  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. 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 …
  9. Math please helppp

    1 Find the missing angle measure in the polygon A ] 77 B ] 87 C ] 97 D ] 107 i think its b 2 Find the sum of the interior angles in 10 - sided polygon A ] 1,260 B ] 1,440 c ] 1,620 d ] 1,800 i think its c or b 3 Find the measure of …
  10. math

    A regular polygon has the sum of the interior angles as 3240degrees . find the number of sides the polygon has.

More Similar Questions