Q: Is it possible to trisect any angle using a compass and straightedge?

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True

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

Yes and the trisections will form 4 angles of 22.5

No

no

Related questions

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

No

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.

no

Yes

Yes

First things first, the actual statement isn't "you can't trisect an angle" but rather "you can't trisect one with only a compass and straightedge." Some angles can be easily trisected--a 90-degree angle trisects into 30-degree segments-but to do it you need a protractor. Anyway, to check your work measure the angle you trisected and divide by three. If your trisections match, you got it right.

Yes! It is! I'm not perfectly sure how, but my father has, in fact, done this.

A compass and a straightedge