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If two supplementary angles differ by 44°, then one of the angle is:
  • a)
    72°
  • b)
    102°
  • c)
    65°
  • d)
    68°
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If two supplementary angles differ by 44°, then one of the angle i...
If two supplementary angles differ by 44 degrees, we can set up the equation:

x + (x + 44) = 180

Simplifying this equation, we have:

2x + 44 = 180

Subtracting 44 from both sides, we get:

2x = 136

Dividing both sides by 2, we find:

x = 68

So, one angle is 68 degrees, and the other angle (which differs by 44 degrees) is 112 degrees.
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Community Answer
If two supplementary angles differ by 44°, then one of the angle i...
Let the two angles are x and y. Therefore, as per the given information,
x ‒ y = 44° and 
x + y = 180°
[ As the total of supplementary angles is 180°]
On solving these two linear equations we get,
2x = 224, 
x = 112°. 
Therefore the other angle y = 180° ‒ 112° = 68°
Hence, option D is correct.
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If two supplementary angles differ by 44°, then one of the angle is:a)72°b)102°c)65°d)68°Correct answer is option 'D'. Can you explain this answer?
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