Answer: [tex]x=21[/tex]
Step-by-step explanation:
For this exercise it is important to remember that, by definition, the sum of the Exterior angles of a polygon is 360 degrees.
Knowing this, you can write the following equation:
[tex](4x-1)+3x+(5x+4)+105=360[/tex]
Now, you must solve for "x" in order to find its value. The steps are:
- Add the like terms:
[tex]12x+108=360[/tex]
- Subtract 108 from both sides of the equation:
[tex]12x+108-108=360-108\\\\12x=252[/tex]
- Divide both sides by 12:
[tex]\frac{12x}{12}=\frac{252}{12}\\\\x=21[/tex]
