by using a ruler and a compass
Draw a point, and a long straight line through it. Put the centre of the compass over the point, with north on the compass (or zero degrees) on the line. Then draw a second line out from the point at 80 degrees on the compass. You'll then have a 80 degree angle between the lines. It's usually a trick that teachers decide to do on their pupils. A compass is what you use to find north and a pair of compasses is used to draw circles.
In conjunction with a straight edge and a protractor
first draw a ray .
The process can't reasonably be described with text only and no sketches. It consists of the following two major steps. They're both easy with a compass and a straight-edge: 1). Draw a straight line segment, then construct its perpendicular bisector. 2). Construct the angle bisector of any one of the four right angles formed in step-1.
by using a ruler and a compass
A 10 degree angle cannot be constructed using only a compass and straight edge.
by 60 degree and 90 degree
With a straight edge and a protractor
Construct 2 perpendicular lines which will meet at 90 degrees then by bisecting this angle wll give a 45 degree angle
It is possible to construct a 20 degree angle using only Ruler and Compass. I happened to stumble across a method that is highly accurate. It is posted on my blog. Check the related link
Yes
An angle of 65° can not be trisected using a compass and straight edge.
In addition to a compass, you WILL need a straight edge.Draw a long straight line.Using the compass and straight edge, and standard procedures, draw a perpendicular bisector of the line.Then, using other standard geometrical construction procedures, bisect one of the right angles to produce a 45 degree angle.The remaining right angle and the 45 degree angle next to it will be 135 degrees - as required.
A 127.5 degree angle can be constructed by using a protractor and a straight edge.
You cannot, you must use a protractor.
By using a protractor and a straight edge