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°

m∠2 = 82.46°

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: