PLEASE HELP write and solve an equation to find the value of X. please explain in details and show your work!

The answer is x=34 degrees.

The answer you are looking for is x=34.

Solution/Explanation:

First things first, we need to understand that the sum of the angles of a triangle is 180°. We can apply this fact for the problem.

So, that means that the sum of all of the angles of this triangle is 180°.

So, therefore, we can formulate an equation:

2x+20+2x-10+x=180.

So, we now have our expression.

Now, all we need to do is simplify it.

Combining similar-like terms,

2x+2x+x+20-10=180.

Simplifying it now,

5x+10=180.

Subtracting 10 from both sides of the equation,

5x+10-10=180-10.

5x=170.

Finally, dividing both sides by 5,

5x/5=170/5.

x=34.

So, therefore the final answer is x=34.

I hope that this has helped you. Enjoy your day, and take care!