Determine whether the two angle measurements can be supplementary if mLA = 37° and mLB = 143°. What is the reasoning behind the answer?
To determine if the two angles can be supplementary, we need to check if their measures add up to 180 degrees.
In this case, we have:
mLA = 37°
mLB = 143°
To find the sum of the angles, we add the measures:
37° + 143° = 180°
Since the sum of the measures is equal to 180 degrees, the two angles can be supplementary. Therefore, mLA and mLB can be supplementary angles.
The reasoning behind this is based on the definition of supplementary angles. Supplementary angles are pairs of angles that add up to 180 degrees. Since 37° + 143° equals 180°, the given angles satisfy this condition and are therefore supplementary.