Question

How do I solve this by finding x?

Answer 1

Answer:
`x=25`

Explanation:

For this exercise you need to analize the information given.

You know that the measure of the angle
`\angle AOB` is:

`m\angle AOB=110\°`

This means that:

`\angle1+\angle2+\angle3=110\°`

Knowing that:

`\angle 1=2x\\\angle\ 2=x+10\\\angle 3=x`

You can substitute values into the equation:

`2x+x+10+x=110`

Having this, you need to solve for the variable "x" in order to find its value. This is:

`4x+10=110\\\\4x=110-10\\\\4x=100\\\\x=(100)/(4)\\\\x=25`