Question

If a line is perpendicular to one of two parallel lines then prove that it is perpendicular to the other

Answer 1

Answer:

angle between 2 parallel lines is 0

Step-by-step explanation:

hence as two alternating angles of two parallel lines are equal

so,if a line makes 90 with a line

then it makes the same with the parallel line of other

Answer 2

Statement :

If a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other line.

Given :

Two parallel lines AB and CD and a line l which is perpendicular to AB.

To proof :

l $\perp$ CD

Proof :

Since AB || CD and a transversal l intersects them at G and H respectively.

$\qquad \sf \: \: \: \: \: \: \: \: \: \: \: \angle \: 1 = \angle \: 2 \\ \\ \implies\qquad \sf \angle \: 2 = 90 \quad( \: \because \: l \perp \: ab \implies \angle \: 1 = 90)$

Hence, l $\perp$ CD.