How do you construct an angle using a straight edge and a compass?

Open the compass to any angle, put the pointed leg at point A on the original and draw an arc through both line segments. Label these points B and C. Keep the compass open to the same angle, put the pointed end at the copied point A and draw another arc.

Can you Trisect any angle?

Trisecting an angle You can trisect any angle if you allow yourself to use an extra dimension (see here). It’s also possible to trisect an arbitrary angle if you use a ruler, rather than a plain straightedge, so that you can measure distances.

Is it possible to Trisect a segment?

A segment can be trisected in many ways. Most of the methods use similar triangles in some way. Below, two different ones are found. The first is a traditional trisecting of a segment.

Is it possible to Trisect a line?

Four circles is in fact the best possible, since three circles or three circles and one line cannot suffice (details). Nor are two circles and two additional lines enough to trisect the segment (details). By the way, it is impossible to trisect an arbitrary angle with unmarked ruler and compass.

Which angle Cannot be constructed by a compass?

We know that using ruler and compass we can only draw angles which are multiples of 15 degree. 15,45,75 degree all are multiples of 15 and only 85 is not the multiple so we cannot draw it using ruler and compass.

How do you Trisect an angle with a compass?

Angles may be trisected via a neusis construction using tools beyond an unmarked straightedge and a compass….With a marked ruler

1. Any full set of angles on a straight line add to 180°,
2. The sum of angles of any triangle is 180°, and,
3. Any two equal sides of an isosceles triangle will meet the third side at the same angle.

Is Trisection possible?

Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It is possible to trisect an arbitrary angle by using tools other than straightedge and compass.