All Questions
5
questions
3
votes
3
answers
215
views
Find Interior Angles of Irregular Symmetrical Polygon
Apologies if this is has an obvious answer, but I've been stuck on this for a bit now.
I've been trying to figure out how to make a symmetrical polygon with a base of m length, with n additional sides ...
- 31
5
votes
1
answer
510
views
Simple proof of "maximum number of right angles in a convex $n$-gon is 3 for $n\geq 5$" for a 8th grade student?
I know a proof of "maximum number of right angles in a convex $n$-polygon is 3 for $n\geq 5$" as follows:
Suppose $k$ is the number of right angles. Then $180(n-2)-90k$ is the sum of other $...
- 8,571
9
votes
1
answer
207
views
Internal angles in regular 18-gon
This (seemingly simple) problem is driving me nuts.
Find angle $\alpha$ shown in the following regular 18-gon.
It was easy to find the angle between pink diagonals ($60^\circ$). And I was able to ...
- 16k
3
votes
0
answers
63
views
Change of angle inside a quirky hexagon
So I am dealing with the hexagon as shown in the picture below and I need to find out how one angle depends on another angle. More specifically, I need $\frac{d\psi}{d\varphi}$ at $\varphi=0$.
Note ...
- 157
7
votes
1
answer
2k
views
Proof of $\angle$ sum of polygon.
First, I know this question might have been asked by several times, see here, for an example.
Before someone may want to mark it as dulplicate, I would like to calrify what I want to ask.
Mainly, I ...
- 2,378