Find the supplement and complement of 63 degree 32 minute20 second

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Answer :

we know " Two angles are Complementary when they add up to 90$°$ "

And here one angle given 63$°$  32' 20'' (  63 degree 32 minute 20 second )

And we also know 1$°$  =  60'  , And 1'  =  60''  ,

We can write 90$°$  =  89$°$ 59 '60''
And ,
complementary angle  =  89$°$ 59' 60''  -  63$°$  32' 20''  =  26$°$  27' 40''

So,

complementary angle  =  26$°$  27' 40''  ( Ans  )

And

we know " Two angles are Supplementary when they add up to 180$°$ "

And here one angle given 63$°$  32' 20'' (  63 degree 32 minute 20 second )

And we also know 1$°$  =  60'  , And 1'  =  60''  ,

We can write 180$°$  =  179$°$ 59 '60''
And ,
Supplementary angle  =  179$°$ 59' 60''  -  63$°$  32' 20''  =  116$°$  27' 40''

So,

Supplementary angle  =  116$°$  27' 40''  ( Ans  )