If two angles are both vertical and supplementary, then the angles are

we know that

Supplementary angles are those angles whose sum is equal to degrees and vertical angles are angles that are congruent.

so

Let

x--------> the first angle

y--------> the second angle

so

--------> equation

--------> equation

Substitute equation in equation

therefore

the answer is

the angles are right angles

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:

ab: 2 n83b8eb7ebi. 8e yen in