Answer:
75, 65 and 40 degrees.
Step-by-step explanation:
Let the largest angle be x degrees, the median y and the smallest z.
x = 2y - 55
z = y - 25
x + y + z = 180
Substituting for x in the last equation:
2y - 55 + y + z = 180
3y + z = 235
From the second equation:
- y + z = -25 Subtract this from the last equation:
4y = 260
y = 65 degrees
so z = 65 - 25 = 40 degrees.
- and x = 180 - 65 - 40 = 75 degrees,.