Final answer:
To find the measure of the angles in the triangle, set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees.
Step-by-step explanation:
Let's denote the three angles of the triangle as A, B, and C.
We are given:
A = 2x - 7 degrees
B = x + 25 degrees
C = 3x + 12 degrees
Since the sum of the angles in a triangle is always 180 degrees, we have the equation: A + B + C = 180
Substituting the given angle measures, we get: (2x - 7) + (x + 25) + (3x + 12) = 180
Now, solve for x and find the value of each angle.
Learn more about Triangle angles