1. Draw a line segment which will become one side of the angle.
(Skip this step if you are given this line.) The exact length is not important. Label it PQ. P will be the angle's vertex. 

2. Set the compasses on P, and set its width to any convenient setting. 

3. Draw an arc across PQ and up over above the point P. Label the point where it crosses PQ as point S. 

4. Without changing the compasses' width, move the compasses to the point S.
Draw a broad arc that crosses the first one and goes well to the right.
Label the point where the two arcs cross as point T. 

5. Without changing the compasses' width, move the compasses to the point T, and draw an arc across the previous arc,
creating point R. 

6. Draw a line from P to R. 

Done. The angle QPR has a measure of 30° 
