Final Answer:
The result of (180° - 17°33'27") is (162°26'33") option b.
Step-by-step explanation:
When subtracting angles in degrees, minutes, and seconds format, it's essential to align the values correctly to perform the subtraction accurately.
To subtract (17°33'27") from (180°), start by converting (180°) to the same units as (17°33'27") for consistency.
(180° = 179°60' = 179°59'60") (as(1° = 60') and (1' = 60").
Now, perform the subtraction:
179°59'60" - &17°33'27"
Begin from the seconds' place: (60" - 27" = 33"). Then move to the minutes:(59' - 33' = 26'). Finally, subtract the degrees: (179° - 17° = 162°).
Therefore, after the subtraction, (180° - 17°33'27") equals (162°26'33"), confirming option B as the correct answer.