Answer
(a) $50^{\circ}10^{\prime}$
(b) $140^{\circ}10^{\prime}$
Work Step by Step
(a) We can find the compliment by subtracting the given angle from $90^{\circ}$ which is equal to $89^{\circ}60^{\prime}$
$\implies 89^{\circ}60^{\prime}-39^{\circ}50^{\prime}=50^{\circ}10^{\prime}$
(b) We can find the supplement by subtracting the given angle from $180^{\circ}$ which is equal to $179^{\circ}60^{\prime}$
$\implies 179^{\circ}60^{\prime}-39^{\circ}50^{\prime}=140^{\circ}10^{\prime}$