Problem:
Imagine a sheet of paper with two line segments drawn on it, as shown. Without extending the paper or the line segments, construct the bisector of the angle determined by the two line segments.
Hints/Solution:
How many different solutions can you find? Find at least 5 different constructions.
Comments: If it needs saying, "construct" means with the usual ruler and compass constructions or with tools analogous to them.
Extensions/Variations: See Inscribed Quadrilateral.
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