If I, m, n are three lines such that I∥ m and n perpendicular to l, prove that n perpendicular to m.
Question:
If I, m, n are three lines such that I∥ m and n perpendicular to l, prove that n perpendicular to m.
Solution:
Given, l ∥ m, n perpendicular to I
To prove: n perpendicular to m
Since l ∥ m and n intersects
∴ ∠1 = ∠2 [Corresponding angles]
But, U = 90
⟹ ∠2 = 90°
Hence n is perpendicular to m