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The complement angle of 80° is
  • a)
    18 / π radian
  • b)
    5π / 9 radian
  • c)
    π / 18 radian
  • d)
    9 / 5π radian
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The complement angle of 80° isa)18 / π radianb)5π / 9 radian...
Complementary angles: Complementary angles are angle pairs whose measures sum to one right angle (90°).
So, the required angle will be 10°
180° = π radian
1º = (π / 180)
∴ 10º = {(π × 10) / 180} = (π / 18)
Hence, option C is correct.
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Most Upvoted Answer
The complement angle of 80° isa)18 / π radianb)5π / 9 radian...
Complement Angle Calculation:
The complement angle of a given angle is the angle that, when added to the given angle, equals 90 degrees. In this case, we are given the angle of 80 degrees and we need to find its complement angle.

Calculation:
- The complement angle of 80 degrees can be calculated as follows:
- Complement angle = 90 degrees - 80 degrees
- Complement angle = 10 degrees

Conversion to Radians:
To convert the complement angle from degrees to radians, we use the conversion factor: 1 degree = π / 180 radians.
- Complement angle in radians = 10 degrees x (π / 180)
- Complement angle in radians = π / 18 radians
Therefore, the complement angle of 80 degrees is π / 18 radians, which corresponds to option 'c'.
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Community Answer
The complement angle of 80° isa)18 / π radianb)5π / 9 radian...
Complementary angles: Complementary angles are angle pairs whose measures sum to one right angle (90°).
So, the required angle will be 10°
180° = π radian
1º = (π / 180)
∴ 10º = {(π × 10) / 180} = (π / 18)
Hence, option C is correct.
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The complement angle of 80° isa)18 / π radianb)5π / 9 radianc)π / 18 radiand)9 / 5π radianCorrect answer is option 'C'. Can you explain this answer?
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