Math, asked by tanmaynandwana4974, 8 months ago

Prove that 2 lines that are respectively perpendicular to 2 intersecting lines, intersect each other.

Answers

Answered by CodeMize
0
Alright, Here’s a simple explanation...

If 1 line is parallel to the other line that intersects, and similarly another line exists that is parallel to other intersecting line, then any transversal i.e line joining 2 parallel lines will display equal corresponding angles.

Let’s extend any 1 pair of parallel lines. Now, the intersecting line will intersect both at 90 Degree (90 Degree is Given).
Because of corresponding angles the other parallel line will have 90 Degree. Do this similarly for the other pair. This will give that both lines are at perpendicular to each other i.e. intersecting each other.

Hopefully you understood it...
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