Find the number of sides in the polygon with whose angles measures have the given sum.

18,000 degrees

a. 102
b. 98
c. 200
d. 120

Question

Find the number of sides in the polygon with whose angles measures have the given sum.
 
18,000 degrees

a. 102
b. 98
c. 200
d. 120

anonymous · Answer

What is the formula for finding the number of degrees in a polygon? Do you know?

anonymous · Answer

No I don't

anonymous · Answer

Ok so the formula is $$(n-2)180=degrees of a polygon$$

anonymous · Answer

Where n= the number of sides a polygon has. Does that help?

anonymous · Answer

So 18000/180= 100-2 or +2?

anonymous · Answer

You are on the right track but that is not quite right. You have a polygon with 18,000 degrees.
(n-2)180=18000
Instead of dividing by 180 we need to distribute first.
180n-360=18000
Add 360 on both sides 
180n=18360
Divide 180 on both sides 
n=102 so n is the variable for how many sides so you have 102 sides in this polygon.

anonymous · Answer

Get it?

anonymous · Answer

Holy pellet, Thank you O: