Can planes parallel to the same straight line intersect?

A sign of parallelism of a straight line and a plane:

If the plane has at least one straight line parallel to the given straight line, then the straight line is parallel to this plane.

Imagine that in each of the planes there is one straight line parallel to the given one. The planes are at a certain angle.

Real life example:

Consider the room. Two adjacent walls intersect. Place the mop perpendicular to the floor. It turns out that the mop is parallel to each wall, and they intersect. In addition, the line of intersection of the planes – the corner jamb – is also parallel to the given straight line – the mop.



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