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Being 'perpendicular' would require the lines to be at 'right angles' to each other... So, if working in a 2-dimensional setting, the joining of 3 perpendicular lines would not be possible. If working in a 3-dimensional setting, the answer would be 12. Four from the intersection of the 1st and 2nd lines, four from where the 3rd line intersects initially, and four from where the 3rd line leaves the intersection.

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Q: How many right angles are formed when three perpendicular lines intersect?
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