Answer
$ 64^{\circ} 9' $
Work Step by Step
$ 37^{\circ} 45' $ + $ 26^{\circ} 24' $
$ 37^{\circ} 45' $
$ 26^{\circ} 24' $
_____
$ 63^{\circ} 69' $
carrying $ 60' $ i.e. $1^{\circ} $ from minute column to the degree column, we get the desired sum as-
$ 64^{\circ} 9' $