any method to trisect an angle into equal parts?

Actually, you can. Without measuring the angles. You can draw an angle that's one third of the original, using a compass and a MARKED ruler.

Here's the important part: You DON'T have to measure the angle. BUT you need a marked ruler. It is not possible with only a compass and straightedge. But it is not at all impossible like most people think.

There are many methods to this. Which you can find online. A few are described in the links below.

you may no longer trisect an arbitrary arc, yet interior a ninety° attitude, you may. To get 12 sections, quarter the circle, then trisect each and every. i will't clarify precisely a thank you to accomplish the trisection. This appears like an extra credit issue, so which you ought to discern it out your self.

you won't be able to trisect an arbitrary arc, yet interior of a ninety° perspective, you may. To get 12 sections, quarter the circle, then trisect all and sundry. i won't be in a position to describe precisely a thank you to accomplish the trisection. This feels like an further credit issue, so which you may discern it out your self.

This is one of the seven unsolvable problems in geometery first posed by Greek mathematicians of old.The impossibility of solving these problems by compass and straight edge has been conclusively proved.Trisection of an angle is one such problem.

IVAN

Not using the traditional straightedge and compass, that has been mathematically proved impossible.

The only way to do that is to physically measure it.

It's been proven that it is impossible to do it with just a compass and straight edge (or even ruled edge).