The sum of the interior angles of a polygon is 540°. How many sides does the polygon have? i would like to know how to do this also

Question

anonymous · Answer

For all polygons, the sum if the interior angles is equal to (n-2)*180 degrees where n is the number of sides.

So set 540=(n-2)180

div by 180

3=n-2

add 2

n=5

The polygon has 5 sides.

xmoses1 · Answer

OK that helps ALOT. Thanks  for your help! :)

xmoses1 · Answer

How many degrees are there in an interior angle of a regular 6-sided polygon?

anonymous · Answer

Remember (n-2)*180 so set n=6
(6-2)*180
4*180
720

xmoses1 · Answer

Oh OK so i already know the formula and know that 6 is n, then i can just insert 6 for n and then work the problem out?

anonymous · Answer

Yep

xmoses1 · Answer

alrighty thanks!