If each of the two lines is perpendicular to the same line, what kind of lines are they to each other?
Question:
If each of the two lines is perpendicular to the same line, what kind of lines are they to each other?3
Solution:
Let AB and CD be perpendicular to MN
ABD = 90 [AB perpendicular to MN] ..... (i)
CON = 90 [CO perpendicular to MN] .... (ii)
Now, ABD = CDN = 90 (From (i) and (ii))
AB parallel to CD,
Since corresponding angles are equal