In a regular polygon each interior angle is 120 greater than each exterior angle. Calculate the number of sides of the polygon. ​

12 sides.

Step-by-step explanation:

the sum of every pair of interior and exterior angle is always 180 degrees.

x = exterior angle.

the interior angle is then x+120.

so then exterior and interior angle together must be 180.

x + x + 120 = 180

2x + 120 = 180

2x = 60

x = 30 degrees

how many sides ?

the sum of all exterior angles must be 360 degrees.

all exterior angles are the same (because all the interior angles must be the same due to "regular polygon").

so, how many times does 30 fit into 360 ?

360/30 = 36/3 = 12

it has 12 corners and also sides.

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:

answer: i literally just answered this question but they want me to do it again

step-by-step explanation: