A 90° angle can be trisected by constructing a 30° angle on each of the two lines. In general, it turns out that an angle whose measure is 2π/N can be trisected if and only if N is not divisible by three.

Can any angle be trisected?

However, although there is no way to trisect an angle in general with just a compass and a straightedge, some special angles can be trisected. ... It is possible to trisect an arbitrary angle by using tools other than straightedge and compass.

Can a 45 degree angle be trisected?

Notice that the triangle OPQ is an equilateral triangle and this each angle is a 60 degree angle. This means that the angle QOA is a 30 degree angle. ... Proposition: The 45 degree angle can be trisected.