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If two complementary angles are in the ratio 13:5, then the angles are ________.
  • a)
    65o , 35o 
  • b)
    15o, 85o
  • c)
    15o, 65
  • d)
    65o , 25o 
  • e)
    None ot these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If two complementary angles are in the ratio 13:5, then the angles are...
Explanation:
Let the angles be 13x and 5x
As we know that complementry angle is 90 degree.
13x + 5x = 90
18x = 90
x = 90/18
x = 5
Putting x values,
13x = 13 x 5 = 65 degree.
5x = 5 x 5 = 25 degree.
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Community Answer
If two complementary angles are in the ratio 13:5, then the angles are...
Solution:

Given, two complementary angles are in the ratio 13:5.
Let the two complementary angles be 13x and 5x.

We know that, sum of two complementary angles = 90°

Therefore, 13x + 5x = 90
18x = 90
x = 5

So, the two complementary angles are:
13x = 13 × 5 = 65
5x = 5 × 5 = 25

Hence, the correct option is D) 65° and 25°.
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