write the complement of 52 degree 30'29"

Answer  : 

We know 1 degree  =  60  arcminutes   ,and we represent it As  :  60' 
And
1 arcminutes  =  60 arc seconds , and we represent it As  :  60'' 

And we know complement of any angle is the angle we obtain after subtract it from 90$°$ . 
So,
x  + y   =  90$°$     here we can see x and y  are complementary angles  .

Here we wants to find complement of 52$°$ 32' 29'' 

And we can write 90$°$ , As  :  89$°$59'60'' 
So, 
Complement angle  =  ​89$°$59'60''   - ​52$°$ 32' 29''    

= ​37$°$ 27' 31''                                                               ( Ans )