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# Is it possible to trisect any given angle using only a straightedge and a compas?

Updated: 10/23/2022

Wiki User

14y ago

No

Wiki User

14y ago

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Q: Is it possible to trisect any given angle using only a straightedge and a compas?
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True

True

### Is possible to trisect any angle using only a compass and straightedge?

As a general rule, no.

### Is it possible to trisect any given angle using a straightedge and compass?

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

### Is it possible to trisect a right angle using only straightedge and compass?

Yes and the trisections will form 4 angles of 22.5

### Is it possible to trisect any given angle using only straightedge and a compass?

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.

### If I have an answer to the trisect any angle geometry question how can I discover if I am right or wrong?

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.

no

Yes

Yes

### What happens when you trisect an angle?

You get three angles that are each one third of the original angle. Note that it is impossible to give a general procedure to trisect any angle by using compasses and straight edge alone. There are special cases which are possible, eg a right angle (90&deg;).

### When you trisect an angle you divide it into how many equal pieces?

3. trisect means three