Question

two lines are respectively perpendicular to two Parallel Lines show that they are parallel to each other .
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Answer 1

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

we know that p⊥m andq⊥n

so we get

∠1=∠2=90  

o

 

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  

o

 

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.

Step-by-step explanation:please make me brainlist

Answer 2

Step-by-step explanation:

$\huge\purple{\mathbb{Question }}$

two lines are respectively perpendicular to two Parallel Lines show that they are parallel to each other .

$\huge\purple{\mathbb{answer}}$

$\textit{see \: the \: above \: image \: }$

$\texttt{line \: AB \: perpendicular } \\ \texttt{to \: line \: EF}$

$\angle{AOB} = \angle{CMO}$

$\texttt{(both \: 90 \: degree)}$

$\therefore Line \: AB \: \parallel line \: CD$

$\texttt{(By corresponding angle theorem)}$