Determine whether the two angle measurements can be supplementary if m∠A=37°

Question

and m∠B=143°
. What is the reasoning behind the answer?

(1 point)

A. No, they do not add up to 90°

B. No, they do not add up to 180°

C. Yes, they are a supplementary pair.

D. No, they are not adjacent.

Answer 1

To determine if the two angle measurements \( m\angle A = 37^\circ \) and \( m\angle B = 143^\circ \) can be supplementary, we need to check if their sum is equal to \( 180^\circ \).

Calculating the sum: \[ m\angle A + m\angle B = 37^\circ + 143^\circ = 180^\circ \]

Since \( 37^\circ + 143^\circ = 180^\circ \), the angles do indeed add up to \( 180^\circ \).

Therefore, the correct answer is:

C. Yes, they are a supplementary pair.