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 .
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.