Question

Question

Use the image to answer the question.

A line from top left to bottom right intersects two parallel lines that extend from bottom left to top right. The intersection with the first parallel line is labeled A. The intersection with the second parallel line is labeled B.

Determine whether the two angle measurements can be supplementary if m∠A=37°
and m∠B=143°
. What is the reasoning behind the answer?

(1 point)
Responses

No, they are not adjacent.
No, they are not adjacent.

Yes, they are a supplementary pair.
Yes, they are a supplementary pair.

No, they do not add up to 180°
.
No, they do not add up to 180 degrees .

No, they do not add up to 90°
.
No, they do not add up to 90 degrees .
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Answer 1

To determine if angles ∠A and ∠B can be supplementary, we first need to understand what supplementary angles are. Supplementary angles are two angles whose measures add up to 180 degrees.

Given:

• m∠A = 37°
• m∠B = 143°

Now we will add the measures of the two angles: m∠A + m∠B = 37° + 143° = 180°

Since the sum of the measures of angles A and B is 180 degrees, we can conclude that they are supplementary angles.

The reasoning can be summarized as follows:

Answer: Yes, they are a supplementary pair. They add up to 180 degrees.