If ∠1 and ∠2 are supplementary angles and m∠1=97.54°, what is m∠2?

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°

M2 is 180-97.54 which equals 102.46