Mathematics

A pair of complementary angles is

  1. 42° 16', 47° 34'
  2. 34° 10', 55° 50'
  3. 53° 27', 29° 33'
  4. 19° 26', 70° 36'

Lines & Angles

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Answer

Evaluating all options:

  1. Sum of minutes: 16' + 34' = 50'

Sum of degrees: 42° + 47° = 89°

Total: 89° 50'

  1. Sum of minutes: 10' + 50' = 60' = 1°

Sum of degrees: 34° + 55° = 89°

Total: 89° + 1° = 90°

  1. Sum of minutes: 27' + 33' = 60' = 1°

Sum of degrees: 53° + 29° = 82°

Total: 82° + 1° = 83°

  1. Sum of minutes: 26' + 36' = 62' = 1° 2'

Sum of degrees: 19° + 70° = 89°

Total: 89° + 1° 2' = 90° 2'

Among all these, second option gave the result 90°.

Hence, option 2 is the correct option.

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