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The complement of 30°20′ is:
- a)69°40′
- b)59°40′
- c)35°80′
- d)159°40′
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The complement of 30°20′ is:a)69°40′b)59°40&pr...
Complement of 30°20′ = 90° – ( 30°20′ ) = 90° – ( 30° + 20′ )
= (89° – 30°) + (1° – 20′)
= 59° + 60′ – 20′ [ ∴ 1° = 60°′]
= 59° + 40′ = 59°40′.
= (89° – 30°) + (1° – 20′)
= 59° + 60′ – 20′ [ ∴ 1° = 60°′]
= 59° + 40′ = 59°40′.
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Community Answer
The complement of 30°20′ is:a)69°40′b)59°40&pr...
Understanding Complement Angles
The complement of an angle is what, when added to that angle, equals 90 degrees. To find the complement of the angle 30°20', we need to perform a simple subtraction from 90°.
Steps to Calculate the Complement
1. Convert 90° into Minutes
- Since 1 degree equals 60 minutes, 90 degrees can be expressed in minutes:
- 90° = 90 × 60' = 5400' (total minutes).
2. Convert 30°20' into Minutes
- Convert 30 degrees and 20 minutes into minutes:
- 30° = 30 × 60' = 1800'
- Therefore, 30°20' = 1800' + 20' = 1820'.
3. Subtract from 5400'
- Now, subtract 1820' from 5400':
- 5400' - 1820' = 3580'.
4. Convert Back to Degrees and Minutes
- To convert 3580' back into degrees and minutes:
- Divide 3580' by 60 to find degrees:
- 3580' ÷ 60 = 59° with a remainder:
- 3580 - (59 × 60) = 40'.
- Therefore, 3580' = 59°40'.
Final Answer
The complement of 30°20' is 59°40', which corresponds to option 'B'.
The complement of an angle is what, when added to that angle, equals 90 degrees. To find the complement of the angle 30°20', we need to perform a simple subtraction from 90°.
Steps to Calculate the Complement
1. Convert 90° into Minutes
- Since 1 degree equals 60 minutes, 90 degrees can be expressed in minutes:
- 90° = 90 × 60' = 5400' (total minutes).
2. Convert 30°20' into Minutes
- Convert 30 degrees and 20 minutes into minutes:
- 30° = 30 × 60' = 1800'
- Therefore, 30°20' = 1800' + 20' = 1820'.
3. Subtract from 5400'
- Now, subtract 1820' from 5400':
- 5400' - 1820' = 3580'.
4. Convert Back to Degrees and Minutes
- To convert 3580' back into degrees and minutes:
- Divide 3580' by 60 to find degrees:
- 3580' ÷ 60 = 59° with a remainder:
- 3580 - (59 × 60) = 40'.
- Therefore, 3580' = 59°40'.
Final Answer
The complement of 30°20' is 59°40', which corresponds to option 'B'.
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The complement of 30°20′ is:a)69°40′b)59°40′c)35°80′d)159°40′Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The complement of 30°20′ is:a)69°40′b)59°40′c)35°80′d)159°40′Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The complement of 30°20′ is:a)69°40′b)59°40′c)35°80′d)159°40′Correct answer is option 'B'. Can you explain this answer?.
The complement of 30°20′ is:a)69°40′b)59°40′c)35°80′d)159°40′Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The complement of 30°20′ is:a)69°40′b)59°40′c)35°80′d)159°40′Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The complement of 30°20′ is:a)69°40′b)59°40′c)35°80′d)159°40′Correct answer is option 'B'. Can you explain this answer?.
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