Answer
$ 67^{\circ} 41' $
Work Step by Step
$180^{\circ} $ - ($ 112^{\circ} 19') $
$180^{\circ} $ can also be written as $179^{\circ} 60' $
( converting 1 degree to 60 minutes) therefore the problem becomes-
$179^{\circ} 60' $ - $ 112^{\circ}19' $
$ 179^{\circ} 60' $
- $ 112^{\circ} 19' $
________
$ 67^{\circ} 41' $
Answer is $ 67^{\circ} 41' $