The measure of ∠K is 49 degrees, 28 minutes, and 27 seconds.
Step-by-step explanation:
The complementary angles is the sum of two angles which has total 90°.
Form the given information,
One degree is equal to 60 minutes and 1 minute is equal to 60 seconds.
If ∠J and ∠K are the complementary angles then their sum will be 90°.
we know that the ∠J is 41°32'33".
∴ 41°32'33"+∠K = 90°60'60".
∠K = 90°60'60" - 41°32'33".
∠K = 49°28'27".
