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

Updated: 12/9/2022

Wiki User

8y ago

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 general

with those tools, although there are a few specific angles, like a

right angle, for which it can be done.

Wiki User

13y ago

Wiki User

8y ago

No because a protractor would also be needed.

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

No

no

Yes

Yes

### 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.

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

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

### Which tools are necessary to construct a angle bisector?

A compass and a straightedge