Draw around a protractor :)
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First draw a horizontal straight line a b Put compass point on a (open compass approximately half the length of line a b - note: ensure the compass is not altered throughout the following). Draw an arc that cuts line a b at c. Put compass point on c and draw an arc from a to cut the first arc at d. Draw a straight line through a d to form a 60 degree angle. For a 120 degree angle, put compass point on dand draw an arc from a to cut the first arc at e. Draw a straight line from a through e to give a second angle of 60 degrees: 60 + 60 = 120 degrees.
An arc is a portion of a circle. The default method for drawing arcs is to specify three points-the start point, a second point, and the endpoint. You can draw an arc using several different methods.
Place the point if the compass on point B and draw an arc across AB.
Note that 135 = 90 + 45.So first construct a right angle, and then bisect the "back" half of it:Draw (horizontal) straight line XABConstruct the perpendicular bisector at A: With the point of your compasses on A draw arcs either side of it on line segments AX and AB.Open your compasses wider, with the point on where the arc in step 2.1 cuts (intersects) AB, draw an arc above the line XAB.With the compasses set the same, with the point on where the arc in step 2.1 cuts AX, draw an arc to cut the arc drawn in step 2.Mark the point where the arcs cut as Y.Draw in line AY.Bisect angle XAY: With the point of the compasses on A, draw arcs on lines AX and AYWith the point of the compasses on where the arc drawn in step 3.1 cuts AX, draw an arc between AX and AY.With the compasses set the same, with the point on where the arc in step 3.1 cuts AY, draw an arc to cut the arc drawn in step 2.Mark the point where the arcs cut C.Draw in line ACAngle CAB is 135oIn drawing the arcs to cut, if they don't cut you may have to either increase the distance between the point and "pencil" of your compasses and/or redraw the arcs longer.
Using only a compass you cannot do it - you will need a straight edge as well.Draw a straight line AB.From A, using the length AB draw an arc above AB.From B, using the length AB draw an arc to intersect the first arc at C.Join CA.Then angle CAB is 60%From A, draw an arc to cut the two arm of the angle, AB and AC at X and Y respectively.From X, draw an arc between the two arms of angle CAB.Using the same length, repeat from Y so as to cut the previous arc at D.Join DA.DA bisects angle CAB and so angle DAB = 30 degrees.Now bisect angle DAB to give angle EAB = 15 degrees.At A, draw a perpendicular (facing downwards). If F is any point on the perpendicular, the angle EAF = 15 + 90 = 105 degrees.