In a Polygon with 'n' sides, half the interior angles are each 150° and the other half are each 170°. Calculate the value of 'n'.

Question

anonymous · Answer

WHat kind of polygon is it??

anonymous · Answer

Doesn't state.

anonymous · Answer

Well The formula is (n-2)*180 and you get the area..... and to find the sum of interior angles on a polygon is (n-2)/180 so....

anonymous · Answer

A polygon with "n" sides can be broken down into (n - 2) triangles, so there are a total of 180 * (n-2) degrees in the polygon.

Since you know that there are an equal number of 150 and 170 degree angles, then you get:

180(n-2) = (n/2)*(150+170)

180n-360 = 75n+85n

20n=360

n=18

anonymous · Answer

I don't get it.

anonymous · Answer

Maybe a different approach,
@ParthKohli Give it a try :P

parthkohli · Answer

Yeah, that's pretty much what the guy from Yahoo! Answers says :D

parthkohli · Answer

And that'd have been my approach too

anonymous · Answer

Can you explain it?

anonymous · Answer

I gave that answer because i didn't have to type the same thing up again and because thats how i would have done it :P