True
True
No, and the proof was provided by Wantzel in 1837.
Yes and the trisections will form 4 angles of 22.5
False. It is impossible to trisect any angle using only a compass and straightedge, as proven by Pierre Wantzel in 1837. While some angles can be trisected using these tools, the general case for all angles cannot be achieved through classical construction methods.
True
True
True
As a general rule, no.
No, and the proof was provided by Wantzel in 1837.
Yes and the trisections will form 4 angles of 22.5
False. It is impossible to trisect any angle using only a compass and straightedge, as proven by Pierre Wantzel in 1837. While some angles can be trisected using these tools, the general case for all angles cannot be achieved through classical construction methods.
No
to construct an angle of 20 degrees all you have to do is to trisect an angle of 60degrees
That's a classic problem that's been around for a very long time.It's been proven that it's not possible to trisect any angle in generalwith those tools, although there are a few specific angles, like aright angle, for which it can be done.
To trisect a right angle form an equilateral triangle with one vertex at the right angle and then bisect that angle of the equilateral triangle. (It is impossible to trisect a general angle using only compass and straight edge - the right angle is a specific exception.)
Right