what is the interior angle of a polygon (16x+23)

Answer 1

The sum of the interior angles of a polygon with "n" sides is given by the formula:

Sum of interior angles = (n-2) * 180 degrees

In this case, the polygon has an interior angle measure of (16x+23) degrees. Therefore:

(16x+23) = (n-2) * 180 degrees

Now we can solve for "n" by setting the equation equal to each other and solving for "n":

(16x+23) = (n-2) * 180
16x + 23 = 180n - 360
180n = 16x + 383
n = (16x + 383)/180

Therefore, the number of sides of the polygon is given by n = (16x + 383)/180.