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There are two triangles A and B. The angles of triangle A are in the ratio 3 : 4 : 5 and the angles of triangle B are in the ratio of 5 : 6 : 7. What is the difference between the largest angle of triangle A and the smallest angle of triangle B.
  • a)
    28°                          
  • b)
    35°
  • c)
    25°                          
  • d)
    40°
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are two triangles A and B. The angles of triangle A are in the r...
The sum of all angles of triangle is 180 degrees .
so , in triangle A , let the sides be 3x,4x,5x
3x+4x+5x=180
12x=180 therefore x=15.
so, the angles are 3x = 45, 4x=60, 5x=75
Similarly in triangle B 
5x+6x+7x=180 
so x=10 
angles are 50,60,70 
largest angle of triangle A is 75 and smallest of B is 50 and the difference is 25 .
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There are two triangles A and B. The angles of triangle A are in the r...
Solution:

Let us assume the angles of triangle A are 3x, 4x, and 5x. The sum of angles of a triangle is 180 degrees. Therefore,

3x + 4x + 5x = 180

12x = 180

x = 15

So, the angles of triangle A are 45 degrees, 60 degrees, and 75 degrees.

Similarly, let us assume the angles of triangle B are 5y, 6y, and 7y. The sum of angles of a triangle is 180 degrees. Therefore,

5y + 6y + 7y = 180

18y = 180

y = 10

So, the angles of triangle B are 50 degrees, 60 degrees, and 70 degrees.

The difference between the largest angle of triangle A and the smallest angle of triangle B is:

75 - 50 = 25

Therefore, the correct answer is option C.
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