Q: It is possible to trisect any angle using only a compass and stightedge?

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True

True

No, and the proof was provided by Wantzel in 1837.

Yes and the trisections will form 4 angles of 22.5

It is indeed impossible to trisect an angle using only a [pair of] compass[es] and a straight edge.It is in fact possible:1) measure the angle2) divide this measure by three3) measure the angle found in part (2) inward from the outer edge of the main angle4) use the straight edge to draw the trisectorsit is!!!!!!!!!!!!!!!!!!

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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

It is indeed impossible to trisect an angle using only a [pair of] compass[es] and a straight edge.It is in fact possible:1) measure the angle2) divide this measure by three3) measure the angle found in part (2) inward from the outer edge of the main angle4) use the straight edge to draw the trisectorsit is!!!!!!!!!!!!!!!!!!

It is indeed impossible to trisect an angle using only a [pair of] compass[es] and a straight edge.It is in fact possible:1) measure the angle2) divide this measure by three3) measure the angle found in part (2) inward from the outer edge of the main angle4) use the straight edge to draw the trisectorsit is!!!!!!!!!!!!!!!!!!

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.)

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.

Use a protractor to measure the angle. Divide that number by 3 and that is the required angle. In general, an angle cannot be trisected using a compass and straight edge.

No