Respuesta :

The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33

What are polygons?

Polygons are 2-dimensional shapes that are made of straight lines.

Therefore,

sum of interior angle of polygon = 180(n - 2)

where

  • n = number of sides

Therefore,

sum of interior angle of polygon = 180(18 - 2)

sum of interior angle of polygon = 180(16)

sum of interior angle of polygon = 2880

Since, it is a 18-gon, the value of x can be found as follows;

2880  / 18 = 160 degrees

Therefore,

3x - 6 = 160

3x = 160 + 6

3x = 166

x = 166  /3

x = 55.3333333333

learn more on polygon here: https://brainly.com/question/14713498