find the measure of the compliment of an angle

Explanation

Compliment of an angle `A = 90^@-A`

Here, given angle is `B = 48^@36'24''`

So, Compliment of `B, B' = 90^@ -B`

We know, `90^@ = 89^@59'60''`

So, `B' = 89^@59'60'' - 48^@36'24'' = 41^@23'36''`