Question

Which of the following statements is true regarding the given image?

• A. l and m are parallel lines
• B. l and m are not parallel lines
• C. Cannot be determined
• D. None of the above

Answer 1

The correct option is B l and m are not parallel lines


From the figure,

$\angle 1and\angle 8\text{are pair of alternate exterior angles.}$

$\text{So,}\angle 1and\angle 8\text{must be equal.}$

But it is given that:

$\angle 1={80}^{\circ }$
$\angle 8={85}^{\circ }$

From the alternate exterior angle theroem, we know, alternate exterior angles should be equal to each other.

Therefore, lines l and m are parallel.