They would be called intersecting lines.
Intersecting lines form Vertically Opposite Angles. Each pair of opposite angles (sharing only a vertex) is congruent. Each of the four pairs of adjacent (sharing a side) angles forms a straight angle (they add to 180o).
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When two lines meet to form an angle the lines are intersecting.
yes
Two perpendicular lines form right angles at their point of intersection.
Yes, a pair of intersecting lines always forms a pair of vertical angles.
draw two intersecting lines that are not perpendicular