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If supplementary angles of an angle is 98° then measure of the angle is 
  • a)
    82 
  • b)
    102 
  • c)
    112 
  • d)
    72 
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If supplementary angles of an angle is 98°then measure of the angl...
Angle = 180 – 98 = 82 
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Most Upvoted Answer
If supplementary angles of an angle is 98°then measure of the angl...
Understanding Supplementary Angles
Supplementary angles are two angles whose measures add up to 180 degrees. If one angle is known, the other can be easily calculated by subtracting the known angle from 180 degrees.
Given Information
- The supplementary angle of a certain angle is 98 degrees.
Finding the Angle
To find the measure of the angle, use the formula for supplementary angles:
- Angle + Supplementary Angle = 180 degrees
In this case:
- Angle + 98 degrees = 180 degrees
Calculation Steps
1. Set up the equation:
Angle + 98 = 180
2. Isolate the angle:
Angle = 180 - 98
3. Perform the subtraction:
Angle = 82 degrees
Conclusion
The measure of the angle is 82 degrees. Hence, the correct answer is option 'A'.
Summary of Options
- a) 82 (Correct)
- b) 102
- c) 112
- d) 72
Always remember that supplementary angles must sum to 180 degrees, making it easy to find the unknown angle when given one of the angles.
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If supplementary angles of an angle is 98°then measure of the angle isa)82b)102c)112d)72Correct answer is option 'A'. Can you explain this answer?
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