Step 1: Find angle y

From the vertical-left transversal intersecting line l, the angle vertically opposite to 60° is 60°. The angle y and the adjacent angle form a linear pair or alternate interior angle relation. Specifically, the interior angle on the same side or linear pair gives $y = 180° - 60°$ or using the corresponding angle. Let's find $y$: looking at the transversal, the angle corresponding to the interior angle is $180° - 60° = 120°$ or directly $y = 120°$ (since interior angles sum to $180°$ with the upper interior angle).

$y = 120°$

Step 2: Find angle x

The angle 105° is given at the lower intersection. The alternate interior angle or corresponding angle to x is determined by the parallel lines. The angle adjacent to 105° on line m is $180° - 105° = 75°$. By alternate interior angles, $x = 75°$.

$x = 75°$

Step 3: Calculate x + 2y

Substitute the values of x and y into the required expression: $x + 2y = 75° + 2(120°) = 75° + 240° = 315°$.

$x + 2y = 315°$