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

Question

(1 point)
Responses

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

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

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

Yes, they are a supplementary pair.

Answer 1

To determine whether the two angle measurements \( m∠A = 37° \) and \( m∠B = 143° \) can be supplementary, we need to check if they add up to \( 180° \).

Let's calculate:

\[ m∠A + m∠B = 37° + 143° = 180° \]

Since this sum equals \( 180° \), we can conclude that:

Yes, they are a supplementary pair.

So, the correct response is: Yes, they are a supplementary pair.