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No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.

Q: Do two distinct planes intersect in a pair of lines?

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They intersect at 90 degrees

Yes. Perpendicular lines intersect to form a right or 90 degree angle. Not all intersecting lines form a right angle.

Parallel lines never intersect and remain equal distance from each other whereas perpendicular lines intersect each other at right angles which are 90 degrees

It depends on how many lines intersect. An infinite amount.

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Lines that intersect at 90 degrees are perpendicular lines

They intersect at 90 degrees

Yes. Perpendicular lines intersect to form a right or 90 degree angle. Not all intersecting lines form a right angle.

No. Any pair of the three will describe a plane, so the three possible pairs describe three planes.

Parallel lines never intersect and remain equal distance from each other whereas perpendicular lines intersect each other at right angles which are 90 degrees

None. In conventional geometry, any intersection of two planes defines a line, which is an infinite number of points. Many planes may intersect along a single line, or any pair of planes may intersect creating a unique line, but however they intersect, the number of shared points is infinite. If the the planes do not intersect (if they are parallel), then they share zero points.

It depends on how many lines intersect. An infinite amount.

It depends on how many lines intersect. An infinite amount.

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A pair of parallel lines are equidistance apart and never intersect each other.

In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of linesthrough opposite edges of a regular tetrahedron.