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Whether perpendicular lines meet at right angles depends on what they are perpendicular to. Perpendicular is a relational word; this is perpendicular to that.
When a pair of lines are perpendicular to each other, they are properly called "mutually perpendicular". Many people (including mathematicians) say just "two perpendicular lines" when they really mean mutually perpendicular, if it is clear from the context that that is what is meant.
However, there exists at least one teacher, at least one of whom is a mathematician, who will on at least one occasion attempt to catch out at least one of his students by leading that student to make an assumption the validity of which has not been rigorously proved.
This often happens when a teacher is trying to show his pupils the art of rigor in mathematical proof. (The previous paragraph is to give you some idea of what a rigorous proof looks like.)
Just to formally answer the question, mutually perpendicular lines on a plane always meet at right-angles - that's what perpendicular means.
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Which angle will perpendicular lines on the same plane ever touch?
yes perpendicular lines are at right angles to each other. Therefore they have to touch eventually
How many perpendicular does a trapezium?
Oh, dude, a trapezium can have two perpendicular diagonals. Yeah, it's like those lines that meet at right angles and stuff. So, if you're ever in a trapezium and need to find some right angles, just look for those diagonals. Easy peasy.
Will perpendicular lines ever cross on the same plane?
If two lines are perpendicular, they intersect at a right angle. So yes, they will always cross each other.
Are alternate exterior angles on parallel lines ever supplementary?
Only if they add up to 180 degrees which would be the case if the parallel lines are cut through by a perpendicular line.
Do perpendicular sides ever meet?
Only once at, a right angle. Paralell lines never meet.
