we know " Two angles are Complementary when they add up to 90° "
And here one angle given 52° 30' 29'' ( 52 degree 30 minute 29 second )
And we also know 1° = 60' , And 1' = 60'' ,
We can write 90° = 89° 59 '60''
And ,
complementary angle = 89° 59' 60'' - 52° 30' 29'' = 37° 29' 31''
So,
complementary angle = 37° 29' 31''