Answer
$ 88^{\circ} 30' $
Work Step by Step
$ 63^{\circ} 38' $ + $ 24^{\circ} 52' $
$ 63^{\circ} 38' $
$ 24^{\circ} 52' $
_____
$ 87^{\circ} 90' $
carrying $ 60' $ i.e. $1^{\circ} $ from minute column to the degree column, we get the desired sum as-
$ 87^{\circ} 90' $ = $ 88^{\circ} 30' $
