Let's denote the first angle as x.
According to the given information:
- The second angle is 35 degrees more than the first angle, so the second angle is x + 35.
- The third angle is 25 degrees more than the first angle, so the third angle is x + 25.
The sum of the angles in a triangle is always 180 degrees, so we can write the equation:
x + (x + 35) + (x + 25) = 180
Simplifying the equation, we have:
3x + 60 = 180
Subtracting 60 from both sides:
3x = 120
Dividing both sides by 3:
x = 40
Now we can substitute the value of x back into the expressions for the second and third angles:
Second angle = x + 35 = 40 + 35 = 75 degrees
Third angle = x + 25 = 40 + 25 = 65 degrees
Therefore, the angles of the triangle are 40 degrees, 75 degrees, and 65 degrees.