Question

1. what is the measure of the angle formed by the intersection of \\( \overleftrightarrow { m n } \\) and \\( \overleftrightarrow { m q } \\)? it is impossible to tell. \\( 180 ^ { \circ } \\) \\( 0 ^ { \circ } \\) \\( 90 ^ { \circ } \\)

Explanation:

Step1: Recall the property of parallel lines

Parallel lines do not intersect. But here, we are looking at the angle formed by the intersection of \(\overleftrightarrow{MN}\) and \(\overleftrightarrow{MQ}\). Wait, no - actually, in the given cube - like figure, \(\overleftrightarrow{MN}\) and \(\overleftrightarrow{MQ}\) are parallel. Wait, no, wait the problem is wrong - no, wait in the figure (assuming standard cube - like structure where \(MQ\) and \(MN\) are on adjacent faces). Wait no - actually, in the given figure (assuming it's a parallelepiped or cube - like), but wait \(\overleftrightarrow{MN}\) and \(\overleftrightarrow{MQ}\) - wait no, actually, in the figure (if we consider the lines), but wait in reality, if two lines are parallel, the angle between them is \(0^{\circ}\) (when we consider the angle formed by their intersection - but parallel lines don't intersect. However, in the context of the problem (maybe a mis - draw or in 3D, but in terms of the direction of the lines). Wait, no - actually, if two lines are parallel, the angle between their directions is \(0^{\circ}\).

Answer:

\(0^{\circ}\)