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)
a .No, they are not adjacent.
b .Yes, they are a supplementary pair.
c .No, they do not add up to 90°.
d .No, they do not add up to 180.

Answer 1

To determine whether the two angle measurements can be supplementary, we need to check if the sum of the angles \( m∠A \) and \( m∠B \) equals 180°.

Given:

• \( m∠A = 37° \)
• \( m∠B = 143° \)

Now, let's calculate the sum: \[ m∠A + m∠B = 37° + 143° = 180°. \]

Since the sum of the angles equals 180°, this means that the angles are indeed supplementary.

The correct reasoning behind the answer is that they add up to 180°.

Thus, the correct answer is: b. Yes, they are a supplementary pair.