Answer: [tex]x=25[/tex]
Step-by-step explanation:
For this exercise you need to analize the information given.
You know that the measure of the angle [tex]\angle AOB[/tex] is:
[tex]m\angle AOB=110\°[/tex]
This means that:
[tex]\angle1+\angle2+\angle3=110\°[/tex]
Knowing that:
[tex]\angle 1=2x\\\angle\ 2=x+10\\\angle 3=x[/tex]
You can substitute values into the equation:
[tex]2x+x+10+x=110[/tex]
Having this, you need to solve for the variable "x" in order to find its value. This is:
[tex]4x+10=110\\\\4x=110-10\\\\4x=100\\\\x=\frac{100}{4}\\\\x=25[/tex]
