The sum of the exterior angles of a polygon is 360 degrees, so the value of x is 9
The exterior angles of the polygon are given as:
xº, 2x°, 4x°, 6x°, 8x°, 9x° and 10x°
The exterior angles of a polygon add up to 360 degrees.
So, we have:
[tex]x\º+ 2x\°+ 4x\°+ 6x\°+ 8x\°+ 9x\° +10x\° = 360\°[/tex]
Evaluate like terms
[tex]40x\° = 360\°[/tex]
Divide both sides of the equation by 40
[tex]x\° = \frac{360\°}{40}[/tex]
Divide 360 by 40
[tex]x\° = 9[/tex]
Rewrite as:
[tex]x = 9\°[/tex]
Hence, the value of x is 9
Read more about polygons at:
https://brainly.com/question/7079195
