SOLUTION: What do you call a regular polygon if it’s exterior angle is twice the interior angle? ( show working)

Algebra.Com
Question 1101274: What do you call a regular polygon if it’s exterior angle is twice the interior angle? ( show working)

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
number of sides n
360/n is size of exterior angle.
(n-2)/n *180 is size of internal angle
360/n=(n-2)/n*360, multiplying the internal angle by 2
The n in the denominator cancels
360=360n-720
1080=360n
n=3, a triangle, whose internal angles are 60 deg (if regular) and external angles are 120 deg.

RELATED QUESTIONS

Interior angle of regular polygon is 3 times its exterior. a)find the size of exterior... (answered by solver91311)
Calculate the number of sides a regular polygon has if an interior angle is five times of (answered by Alan3354)
if the measure of each exterior angle of a regular polygon is 18 degrees what is the... (answered by 2897696)
What is the exterior angle of a regular polygon in which the interior angle is three... (answered by ikleyn)
if the exterior angle of a regular polygon is 55degrees what is the value of its interior (answered by Alan3354)
find the number of sides of a regular polygon whose interior angle is twice the exterior... (answered by 10037376,Alan3354)
if an exterior angle of a regular polygon is 24 how many sides does the polygon have and... (answered by Alan3354)
each interior angle of a regular polygon is 140. what does each exterior angle... (answered by Alan3354)
Given a regular polygon and exterior angle is x find the interior angle and # of... (answered by richard1234)