Answer
$ 89^{\circ} 40' $
Work Step by Step
$ 51^{\circ} 55' $ + $ 37^{\circ} 45' $
$ 51^{\circ} 55' $
$ 37^{\circ} 45' $
_____
$ 88^{\circ} 100' $
carrying $ 60' $ i.e. $1^{\circ} $ from minute column to the degree column, we get the desired sum as-
$ 88^{\circ} 100' $ = $ 89^{\circ} 40' $
