The expression (n+3) represents the measure of an exterior angle of a regular 18 gon. What is the value of n in the expression

To find the value of 'n' in the expression (n+3), which represents the measure of an exterior angle of a regular 18-gon, we need to apply the formula for the measure of an exterior angle of a regular polygon.

The formula for the measure of an exterior angle of a regular polygon is:

Exterior angle = 360 degrees / number of sides

In this case, we have a regular 18-gon, so the number of sides is 18.

Therefore, the measure of an exterior angle of this regular 18-gon is:

Exterior angle = 360 degrees / 18 = 20 degrees

Now, we can set up an equation using the given expression:

n + 3 = 20

To isolate 'n', subtract 3 from both sides of the equation:

n = 20 - 3

Therefore, the value of 'n' is:

n = 17