Question

these exercises require the subtraction of angles. determine the value of each. 102°16 - 100°54 1°42 2°42 2°23 1°22

Explanation:

Step1: Borrow 1 degree

Since \(16'<54'\), borrow \(1^{\circ}\) from \(102^{\circ}\). \(1^{\circ}=60'\), so \(102^{\circ}16' = 101^{\circ}76'\)

Step2: Subtract degrees and minutes separately

Subtract the degrees: \(101^{\circ}-100^{\circ}=1^{\circ}\)
Subtract the minutes: \(76'-54' = 22'\)

Answer:

\(1^{\circ}22'\) (the fourth option)