Question

34.
Line l is perpendicular to line m and line m is perpendicular to line n. Then the
lines I and n are
(1) parallel to each other.
(2) perpendicular to each other.
(3) intersecting
(4) None of the above​

Answer 1

Answer:

(1) parallel to each other.

Step-by-step explanation:

These two area parallel since -

In the figure you can see that line l is ⊥ to line m, and line m is ⊥ to line n.

Hence angle 1 is = angle 2 (Both are 90 degrees due to the perpendicular lines)

However, they are also co-interior angles.

Hence, since the co-interior angles add up to 180 degrees, line l is ║ to line n.