For this case we have:
By definition, two angles are supplementary if they add up to 180 degrees.
That is to say:
∠1 + ∠2 = 180°
If:
m∠1 = 97.54°
We have:
m∠1 + m∠2 = 180°
97.54° + m∠2 = 180°
Clearing m∠2 we have:
m∠2 = 180° -97.54°
m∠2 = 82.46°
Thus, the supplementary angle of m∠1 = 97.54° is m∠2 = 82.46°
Answer:
m∠2 = 82.46°
