I am trying to make a $30$ degree angle by folding an $A4$ paper, but I got nothing. It seems to be easy but I don't have a clue. I can make $A=45,B=67.5,C=67.5$ triangle or make $45 , \frac {45}{2} , \frac{45}{4}, \cdots$ by folding a right angle.
Is there any way to make a triangle with $30,60 ,90 $ degree by folding an $A4$ paper?
Remark: I search Google but there is almost nothing clear.
Remark2: I saw how to make an equilateral triangle, and then fold any angles to half is the answer. But my question is concerned with not using equilateral triangle.
2026-05-04 16:22:54.1777911774
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How to fold a4 paper for 30 degree angle?
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A $30^\circ$-$60^\circ$-$90^\circ$ triangle has its short leg half the length of its hypotenuse. So, you just need to have a sidelength of length $1/2$ and a hypotenuse of length $1$. First make a square, then fold it in half to get a rectangle. Then, fold one of the corners so it touches the opposite side.

The aspect ratio of the paper does not matter.
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