Proofs About Angles Quick Check

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Question
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

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

∠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

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

The correct response is:

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

Linear pairs of angles are two adjacent angles that form a straight line. Since lines s and t are parallel and the horizontal line intersects them, ∠G and ∠D are adjacent and their measures add up to 180°, making them supplementary.