From the given figure
<9 and <11 are in the corresponding position, then
If line c is parallel to line d, then
[tex]\angle9=\angle11[/tex]
Since <9 = 119 degrees, then
<11 = 119 degrees
Since <11 and <16 are vertically opposite angles, then
[tex]\angle11=\angle16[/tex]
Since <11 = 119 degrees, then
<16 = 119 degrees
Add the measures of <11 and <16
[tex]\angle11+\angle16=119+119=238^{\circ}[/tex]
The sum of the measures of <11 and <16 is 238 degrees
The answer is the 2nd choice
