Question

If t,m,n are three lines such that t parallel m and n perpendicular t , prove that n perpendicular m​

Answer 1

when a transversal intersect two parallel lines then the pairs of corresponding,vertically opposite,alternate,interior angles are equal.

angle1=angle2

if angle 1 is of 90° as n is perpendicular to t

then

angle 2 is also of 90° when we produce line n to meet line m.( it become corresponding angles)

therefore,n is perpendicular to m