Answer
$ 55^{\circ} 48' $
Work Step by Step
$90^{\circ} $ - ($ 34^{\circ} 12') $
$90^{\circ} $ can also be written as $89^{\circ} 60' $ ( converting 1 degree to 60 minutes)
therefore the problem becomes-
$89^{\circ} 60' $ - $ 34^{\circ} 12' $
$ 89^{\circ} 60' $
- $ 34^{\circ} 12' $
_______
$ 55^{\circ} 48' $
$ 55^{\circ} 48' $