If each of the two lines is perpendicular to the same line, what kind of lines are they to each other?

Question

Philoid · Accepted Answer

Let AB and CD be perpendicular to MN

∠ABD = 90^o(AB perpendicular to MN) (i)

∠CON = 90^o (CD perpendicular to MN) (ii)

Now,

∠ABD = ∠CON = 90^o

Since, AB ‖ CP

Therefore, corresponding angles are equal.