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Two supplementary angles are in the ratio 4:5. The angles are :​

  • a)
    145°, 35°

  • b)
    45°, 135°

  • c)
    80°, 100°

  • d)
    90°, 90°

Correct answer is 'C'. Can you explain this answer?
Verified Answer
Two supplementary angles are in the ratio 4:5. The angles are :​a)145°...
Let the angles be x
As they are in ratio of 4:5, so we can write it in the form of 4x ,5x
We know supplementary angle =180°
so,According to the question
4x+5x = 180°
9x = 180°
x = 180° ÷ 9
x = 20°
so, 1 st angle = 4x = 4×20° = 80°
2 nd angle = 5x = 5×20° = 100°
PROOF
4x + 5x = 180°
4×20° +5×20° = 180°
80°+ 100°= 180°
180° = 180°
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Most Upvoted Answer
Two supplementary angles are in the ratio 4:5. The angles are :​a)145°...
Let, the angles be 4x and 5x respectively. . Now, 4x+5x=180(supplimentary). . 9x=180. . . x=180/9=20. . Now, 4x=20×4=80 and 5x=20×5=100. supplimentary angles = 80 and 100 . so it's ratio is 80:100. and the answer is (c)
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Community Answer
Two supplementary angles are in the ratio 4:5. The angles are :​a)145°...
Let the angles be x.... So, the angles will be 4x & 5x..... Since supplementary angles r 180'.......4x + 5x = 180'........9x = 180'...x = 180'/9.....x = 20'.......Therefore the angles will be 4x = 4*20= 80'.....5x = 5*20 = 100'..So, answr be 80' & 100'.
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Two supplementary angles are in the ratio 4:5. The angles are :​a)145°, 35°b)45°, 135°c)80°, 100°d)90°, 90°Correct answer is 'C'. Can you explain this answer?
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