The correct equation to solve for the value of each angle given that the measures of angles <1 and <3 (which are vertical angles) sum to 68 degrees is:
C. \( 2x = 68 \)
This is because if <1 and <3 are vertical angles, they are equal in measure, so we can let each angle be represented by \( x \). Therefore, the equation is:
\[ x + x = 68 \] \[ 2x = 68 \]