Answer
(a) $49^\circ 19'10''$
(b) $129^\circ 19'10''$
Work Step by Step
(a) For the complement, we have $\alpha=90^\circ-50^\circ 40'50''=89^\circ59'60''-50^\circ 40'50''=49^\circ 19'10''$
(b) For the supplement, we have $\beta=180^\circ-50^\circ 40'50''=179^\circ59'60''-50^\circ 40'50''=129^\circ 19'10''$