Question

Examine whether each of the following pair of lines AB and CD are parallel or not​

Answer 1

Answer:

Yes

Step-by-step explanation:

For lines to be parallel alternate interior angles should be equal

Angle GHD=180-angle FHD

=180-115 = 65°

Therefore angle AGH = angle GHD

So lines are parallel

Answer 2

Step-by-step explanation:

$\angle H = 115 \degree ... (vertical \: \angle s) \\ \angle H + 65 \degree \\ = 115 \degree + 65 \degree \\ = 180 \degree$

Therefore by interior angle test,

$line \: AB || \: line \: CD$