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Two lines in two intersecting planes can be parallel, intersecting, or skew.

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They can be but need not be.

Q: Two lines in intersecting planes are skew.?

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Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.

False. The angles can be formed by two skew lines intersecting a third line.

One.

If they are straight lines, then they define a plane in which both lines lie.

Not really. A railroad intersection would be an example of two lines intersecting. An example of two planes intersecting would be the ground and the side of a building or the ground and the railroad crossing sign post.

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Each line can either intersect the edge which is common to the two planes at some point or be parallel to it. If the two lines intersect the edge, but at different points, then the lines are skew. If only one of the lines intersects the edge, then again the lines are skew. If neither of them intersect, then the two lines are parallel to the same edge and so they are parallel to one another so not skew.

Skew lines never intersect. If two lines intersect, then they are known as "intersecting lines", not skew lines.

Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.

False. The angles can be formed by two skew lines intersecting a third line.

Intersecting planes!

No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not skew lines.

skew lines

One.

skew

They are skew lines. Two parallel lines must be in the same plane.

I guess they are. If they're parallel or intersecting, then they're coplanar.

If they are straight lines, then they define a plane in which both lines lie.

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