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 angle
2) divide this measure by three
3) measure the angle found in part (2) inward from the outer edge of the main angle
4) use the straight edge to draw the trisectors
it is
!!!!!!!!!!!!!!!!!!
True
True
No, and the proof was provided by Wantzel in 1837.
A ruler has markings, a straight edge does not. In "straight edge and compass" constructions, you are not allowed to mark the straight edge. Things that are impossible using only a straight edge and compass are possible if markings are allowed (for example, it's possible to trisect an angle using a marked straight edge).
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.
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!!!!!!!!!!!!!!!!!!
True
True
As a general rule, no.
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.)
No, and the proof was provided by Wantzel in 1837.
A ruler has markings, a straight edge does not. In "straight edge and compass" constructions, you are not allowed to mark the straight edge. Things that are impossible using only a straight edge and compass are possible if markings are allowed (for example, it's possible to trisect an angle using a marked straight edge).
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.
Yes and the trisections will form 4 angles of 22.5
Yes! It is! I'm not perfectly sure how, but my father has, in fact, done this.
to construct an angle of 20 degrees all you have to do is to trisect an angle of 60degrees
"Trisecting" is cutting into three equal parts, not four. Trisecting is impossible. Cutting into four equal parts is possible though, and trivial once you know how to bisect an angle.