You will need
  • - the range;
  • pencil;
  • paper;
  • a pair of compasses;
  • - protractor;
  • - right triangles
If there is nothing but sheet of paper and a pencil, then you can do even these facilities. To do this, very carefully roll the sheet of paper in four, with good smoothing down the folds. As a result, the dual bend will get a right angle which is 90°. Fold the corner in half again, and get the desired angle of 45°. The truth in this case will appear a small error in the loss of several degrees. For more accurate drawing draw a right angle with a pencil on a blank sheet of paper, carefully cut it out and fold in half – this will give an angle of 45°.
You can draw the angle using a rectangular tregons, which varies with angles 90°, 45°, 45° and 90°, 60°, 30°. Take tregon (with angles 90°, 45°, 45°) and draw on a sheet of paper at a sharp angle of 45°. If there is only tregon with angles 90°, 60°, 30°, then on another sheet of paper draw a straight angle, cut it out, fold in half and draw the desired drawing. This will be the angle of 45°.
The most accurate version of the construction in which a protractor is used. Draw on paper a line, mark on it a corner point, attach the protractor and mark a point 45° , and then connect them together.
Interestingly, even with a compass can also represent the angle at 45° . For this it is enough to have a picture angle of 90° (for example, using a rectangular tregonand or by folding paper squares). Then from the corner point of the compass, swipe a circle. At the intersection of the circle and the sides of a right angle mark the point. Now from each of the two points with the same solution of the compass make two more circles. In their point of intersection will be a point that you connect with a corner, which will get two angle of 45° .