TofuTheGreat wrote:
bigbuck wrote:
TofuTheGreat wrote:
I misunderstood the original question. I thought they wanted to know the sum of the interior angles of the original decagon. Then I saw Anna's image.
annajon wrote:
OK I know now what a decagon is.... judging by the image above. What was it you want to do with it now????
Using Anna's diagram it seems that you'd take 180 degrees (EVERY triangles interior angles = 180) times the number of triangles and that would give you the sum of all the resulting angles in the joined vertices.
....but NOT if the triangles meet in the centre like that. To get the sum of the angles in a decagon, you could only get 8 triangle if you did this sort of thing..
hence 8 x 180 =1440
Isn't that what I said?
blue_lurker wrote:
The second I don't understand hoping some one will explain it to me
2. By joining all the vertices of a decagon, how many diagonals are formed, what is the sum of all the angles of a decagon.
I suppose it depends on the meaning of the phrase "joining all the vertices of a decagon". Are we joining each vertice to the others? Like so:
If so then we're not creating triangles and the sum of the angles goes WAY up.
yeah C, I'm not really sure on the question either. I'd guess it's a two part thing where you are looking for patterns related to the number of sides of a polygon. Stock standard year 9 introductory algebra thing.
Rather than work on the decagon, trying to count/add stuff. Look for common patterns on smaller polygons and see if you can derive the rule (or formulae) which relates 'no. of sides to sum of angles' or 'no. of sides to total diagonals'.
I think the question is as much about basic algebra as it is geometry.