SOLUTION: Classify the polygon if the sum of the exterior angles is twice the sum of the interior angles. I know the polygon is a triangle, but how do I set up the equation to find the answe

Algebra.Com
Question 836225: Classify the polygon if the sum of the exterior angles is twice the sum of the interior angles. I know the polygon is a triangle, but how do I set up the equation to find the answer?
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
The sum of the interior angles of an n-sided polygon is given by the
formula (n-2)·180°.

The sum of the exterior angles of ANY polygon is 360°.

We are told that the sum of the exterior angles is twice the sum of the interior angles:

360° = 2[(n-2)180°]

360 = 360(n-2)

Divide both sides by 360

1 = n-2

Add 2 to both sides

3 = n

Edwin
RELATED QUESTIONS

How many sides has a polygon in which the sum of the interior angles of the polygon is... (answered by Alan3354)
The sum of the interior angles of a polygon is twice the sum of its exterior angles. How... (answered by Theo,ikleyn)
If the sum of the interior angles of a polygon equals the sum of the exterior angles,... (answered by Alan3354)
IF the sum of the measures of the interior angles of a polygon is twice the sum of its... (answered by Gogonati)
If the sum of the measures of the interior angles of a polygon is twice the sum of its... (answered by jim_thompson5910)
Find the number of sides of a polygon if the sum of the measures of its interior angles... (answered by Alan3354)
what is the difference between finding the sum of the interior angles of a polygon and... (answered by solver91311)
the sum of the interior angles of a polygon is three times the sum of its exterior angles (answered by ikleyn)
The sum of the interior angles of a convex polygon is equal to the sum of the exterior... (answered by stanbon)