Statement-I     If two lines are perpendicular to same line, then the two lines are parallel.

Statement-II     If two lines are parallel to same line, then the two lines are parallel.

Statement A : Let the lines $\text{'}p\text{'}$  and $\text{'}q\text{'}$  are perpendicular to line $\text{'}m\text{'}$  

Here, corresponding angles are equal,

$\therefore p\parallel q$                                correct statement

Statement B : Let  $\text{'}p\text{'}$ , $\text{'}q\text{'}$  are the lines parallel to the same line $\text{'}m\text{'}$ ,

$p\parallel mandm\parallel q$

Clearly $p\parallel q$                     correct statement