Math, asked by saisiddharthsetty, 2 days ago

Two lines are respectively perpendicular to two parallel lines. Then these lines to
each other are

Answers

Answered by deepakgowtham2006
1

intersecting lines

pls mark as brainliest answer

Answered by mariashaikh0144
1

Answer:

Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

Step-by-step explanation:

According to the figure consider the two parallel lines as m and n

We know that p ⊥ m and q ⊥ n

So we get

∠1 = ∠2 = 90

We know that m || n and p is a transversal

From the figure we know that ∠1 and ∠3 are corresponding angles

So we get

∠1 = ∠3

We also know that

∠2 = ∠3 = 90

We know that ∠2 and ∠3 are corresponding angles when the transversal n cuts p and q.

So we get p || q.

Therefore, it is shown that the two lines which are perpendicular to two parallel lines are parallel to each other.

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