One of them math problems

Brain freeze. You have a regular n-gon. You know that all the interior angles are 144 degrees. What is the value of n?(n is the number of sides). Sofar I have 144n/n-2=180. I then simplified that to 144n=180n-360 by multiplying both sides by n-2 and distributing it on the right side. I can't seem to figure out where to go from here...

 

42

 

I'll believe that, but that means that my formula is wrong, which is proven by the fact that it doesnt work on other problems either.

 

K~

I really have no idea. My math is pretty rusty. What you said might as well have been in Japanese.

~Di

 

damn

 

Alright, i'm sure my forumla is right, although i changed it to 144n=180(n-2)

 

144n=180n-360
-144n, +360
360=36n
/36
10=n

I think.

It's been a while.

 

Damn, Raeli. That was HOT!

 

wow...that makes sense

Now I gotta do that, but this time I get the measure of the EXterior angles

 

It's about time math did something for me other than balance my checkbook!

 

Thats what calculators are for. Calculators can't do geometry.

 

If you know the interior angle and want to solve for the number of sides, then:

N=360/(180-A)

Where N is the number of sides to the polygon and A is the interior angle between adjacent sides.

If you know the number of sides and want to solve for the interior angle then:

A=180-(360/N)

These formulas are only valid for regular polygons, of course.

 

The sum of all the internal angles in any closed Polygon
= (180 * # of sides) - 360

The number of internal angles in any closed Polygon, is equal to the number of sides.

If we let N="# of sides"
Then the equation becomes:

144*N = 180*N - 360

Solving for N:

360 = 180*N - 144*N
360 = (180 - 144)*N
360 = 36*N
360/36 = N
10 = N

So I can CONFIRM Raeli's answer.

If you look above, you will also see the derivation of the equations cited by LuckyStrike.

Hope this helped

Got any more???

thanks,
J

 

Yeah, I remembered later that the exterior angles of any polygon are always 360 degrees. I ended up finishing it perfectly.