Solve for x in the following figure and choose the appropriate result.

Answer:
[tex]x=45[/tex]
Step-by-step explanation:
In a triangle, all of the interior angles add up to 180 degrees. Knowing this, we can construct the following equation and solve for x:
[tex]x+2x+45=180\\3x+45=180[/tex]
Subtract both sides by 45
[tex]3x+45-45=180-45\\3x=135[/tex]
Divide both sides by 3
[tex]\frac{3x}{3} =\frac{135}{3} \\x=45[/tex]
I hope this helps!