How to bisect an angle with compass and straightedge or ruler - Math Open Reference

How to bisect an angle with compass and straightedge or ruler. To bisect an angle means that we divide the angle into two equal (congruent) parts without actually measuring the angle. This Euclidean construction works by creating two congruent triangles. See the proof below for more on this.

Geometric construction

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How to bisect an angle with compass and straightedge or ruler