From the given figure
<9 and <11 are in the corresponding position, then
If line c is parallel to line d, then

Since <9 = 119 degrees, then
<11 = 119 degrees
Since <11 and <16 are vertically opposite angles, then

Since <11 = 119 degrees, then
<16 = 119 degrees
Add the measures of <11 and <16

The sum of the measures of <11 and <16 is 238 degrees
The answer is the 2nd choice