1. To construct a 30-degree angle using compass and straightedge, draw a straight line and name the two ends of the line as A and B, meaning the straight line is starting at point A and is ending at point B.
2. Get your compass and place its tip directly on point A, and use the compass to draw an arc. The arc should cut the line AB, then use any alphabet to represent this point.
3. Let's say the arc cut the line AB at point C, then place the tip of the compass directly on point C and draw another arc in such a way that it cuts the first arc at any point. Then, you can use an alphabet to represent the point (say P).
4. Put the tip of the compass directly on point P and draw another arc so that it meets the second arc you drew in step 3 at any point. Then, let's assume the new point is represented by D.
5. Finally, draw a straight line to connect point A and D so as to get the 30-degree angle.
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