Hi,

if angle e and angle f are supplimentary 

angle e is 54 more then angle f

Question states***

  e + f = 180    |||   (substitute for e)

(f+ 54) + f  = 180°  

    2f = 126

     f = 63°    and e = 117° 

and..

 e + f = 63° + 117°  = 180°   

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