goodyhi11 Posted January 16, 2005 Share Posted January 16, 2005 I have a geometry problem that need to be solved. Any one volunteer? Problems: The measure of each exterior angle of an equianglar polygon is half the measure of each interior angle of the polygon. What is the name of the polygon? Thanks Link to comment Share on other sites More sharing options...
ed84c Posted January 16, 2005 Share Posted January 16, 2005 Hexagon Link to comment Share on other sites More sharing options...
goodyhi11 Posted January 16, 2005 Author Share Posted January 16, 2005 hey that's what I thought too, but that's not the answer, the answer is equlateral, and I have no clue how the answer is that. Link to comment Share on other sites More sharing options...
ed84c Posted January 16, 2005 Share Posted January 16, 2005 parallelagram Link to comment Share on other sites More sharing options...
Sayonara Posted January 16, 2005 Share Posted January 16, 2005 Isn't it parallelogram? Link to comment Share on other sites More sharing options...
goodyhi11 Posted January 16, 2005 Author Share Posted January 16, 2005 yes "sayonara3", you are right, but how did you figure it out though? Link to comment Share on other sites More sharing options...
swansont Posted January 16, 2005 Share Posted January 16, 2005 A parallelogram doesn't have a fixed angle, nor are all the angles necessarily the same, so it can't be the answer. The sum of the angles is 180. If the exterior is half the interior, then it's 60 exterior and 120 interior. Hexagon. Are you sure you copied the question correctly? If you reverse the relationship then you get 60 degrees for the interior angle, which would be an equilateral triangle. Link to comment Share on other sites More sharing options...
goodyhi11 Posted January 16, 2005 Author Share Posted January 16, 2005 A parallelogram doesn't have a fixed angle, nor are all the angles necessarily the same, so it can't be the answer. The sum of the angles is 180. If the exterior is half the interior, then it's 60 exterior and 120 interior. Hexagon. Are you sure you copied the question correctly? If you reverse the relationship then you get 60 degrees for the interior angle, which would be an equilateral triangle. You are right, it is a hexagon. Can you please expain your steps again? Link to comment Share on other sites More sharing options...
Sayonara Posted January 16, 2005 Share Posted January 16, 2005 yes "sayonara3", you are right, but how did you figure it out though? I wasn't giving that as an answer - it was pedantry at work. Link to comment Share on other sites More sharing options...
swansont Posted January 17, 2005 Share Posted January 17, 2005 You are right, it is a hexagon. Can you please expain your steps again? The relations that are important are that (exterior angle) * (# of sides) = 360, and the sum of the two angles is 180. Since you know the relation between the two angles, you can solve for the interior angle, and thus, the number of sides. Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now