Sometimes.
Perpendicular lines always intersect.
Parallel lines never intersect.
Therefore, intersecting lines may be perpendicular, but not always.
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Non-perpendicular intersecting lines. There is no special name.
Either perpendicular lines if the lines create 90o angles or intersecting lines.
Intersecting Lines
Perpendicular lines
Perpendicular lines always intersect and make 90 degree angles. Parallel lines never intersect with each other.