Question 648248
the supplementary angle add up to {{{180}}}

as you know, there are {{{60}}} seconds to every minute and {{{60}}} minutes to every degree

the supplementary angle to {{{100}}} degrees {{{20}}} minutes {{{40}}} seconds will be

{{{180-(100deg+20min+40sec)}}}....take one degree from {{{180}}} and convert into minutes, and take one minute and convert into secundes

{{{(179deg+59min+60sec)-(100deg+20min+40sec)}}}


{{{(179deg-100deg)+(59min-20min)+(60sec-40sec)}}}

{{{79deg+39min+20sec}}}

so, the supplementary angle to {{{100}}} degrees {{{20}}} minutes {{{40}}} seconds is {{{79}}} degrees {{{39}}} minutes {{{20}}} seconds