Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

We all know very well how to make an angle of 15 and 45 degree and its multiple using compass. Can anybody tell me how to make an angle of 10 degree and its multiple using compass?

share|cite|improve this question

It's not possible to construct an angle of $10$ degrees with straightedge and compass alone. See for example for details.

share|cite|improve this answer
More precisely: the minimal polynomial for $\sin\,10^\circ$ is an irreducible cubic, and that precludes constructibility with compass/straightedge. There's always neusis, however... – J. M. Apr 14 '12 at 3:45

yes we can, for that we first need to draw equilateral triangle & then divide opposite side of the triangle into 6 parts & then join them. In this way at the vertex of one of the opposite side you can find 10 degrees.

share|cite|improve this answer
Dividing the opposite side into six equal parts? That won't work. – Thomas Andrews Sep 14 '13 at 7:01

protected by Asaf Karagila Feb 10 '14 at 9:55

Thank you for your interest in this question. Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site (the association bonus does not count).

Would you like to answer one of these unanswered questions instead?

Not the answer you're looking for? Browse other questions tagged or ask your own question.