Answer
(a)$75^{\circ}40^{\prime}$
(b)$165^{\circ}40^{\prime}$
Work Step by Step
(a) We can find the compliment by subtracting the given angle value from $90^{\circ}$ and we know that $90^{\circ}=89^{\circ}60^{\prime}$
$89^{\circ}60^{\prime}-14^{\circ}20^{\prime}=75^{\circ}40^{\prime}$
(b) We can find the supplement by subtracting the given angle value from $180^{\circ}$ and we know that $180^{\circ}=179^{\circ}60^{\prime}$
$179^{\circ}60^{\prime}-14^{\circ}20^{\prime}=165^{\circ}40^{\prime}$
