Use the image to answer the question.

A horizontal line is intersected by two parallel lines lower s and lower t that slant from left to right forming eight angles.

If lines s and t are parallel, which pair of angles is supplementary and why?

(1 point)
Responses

∠G
and ∠D
because they are a linear pair
∠G
and ∠D
because they are a linear pair

∠A
and ∠B
because they are corresponding angles
∠A
and ∠B
because they are corresponding angles

∠B
and ∠G
because they are consecutive interior angles
∠B
and ∠G
because they are consecutive interior angles

∠A
and ∠D
because they are consecutive exterior angles
∠A
and ∠D
because they are consecutive exterior angles

1 answer

The correct response is:

∠G and ∠D because they are a linear pair.

Linear pairs are formed when two angles are adjacent (sharing a common side) and their non-common sides form a straight line. Therefore, they sum up to 180 degrees, making them supplementary.