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Two Intersecting Lines, Point on Angle Bisector
Number of solutions: 2
GeoGebra construction
Steps
- The given point and the centers of the solution circles lie on the angle bisector defined by the two given lines.
- Draw a perpendicular to the angle bisector through the given point. This perpendicular is the tangent of the solution circles.
- The centers of the solution circles lie on the angle bisectors formed by the perpendicular and one of the given lines.
- The centers of the solution circles are located at the intersections of the angle bisectors.
- The problem has two solutions.