Answer:
[tex]\boxed {\boxed {\sf x=60}}[/tex]
Step-by-step explanation:
If the lines m and n are parallel, then the 2 inside angles that make a "C" shape are co-interior angles. These are supplementary or add up to 180 degrees.
Therefore, for m and n to be parallel, then x and 2x must add up to 180 degrees.
[tex]x+2x=180[/tex]
Solve for x. First, combine like terms on the left side of the equation. Add x and 2x.
[tex]3x=180[/tex]
Solve for x by isolating the variable. It is being multiplied by 3. The inverse operation of multiplication is division. Divide both sides of the equation by 3.
[tex]\frac{3x}{3}= \frac{180}{3}[/tex]
[tex]x= \frac{180}{3}[/tex]
[tex]x=60[/tex]
The value of x that makes m parallel to n is 60.
