Final answer:
To find the value of x and the angles of the triangle, set up an equation by using the fact that the sum of the angles in a triangle is always 180°. Solve the equation to find x, and then substitute x back into the angles to determine their values.
Step-by-step explanation:
To find the value of x and the angles of the triangle, we can use the fact that the sum of the angles in a triangle is always 180°. Let's set up an equation:
x + (x + 20) + (x - 50) = 180
Combining like terms:
3x - 30 = 180
Adding 30 to both sides:
3x = 210
Dividing by 3:
x = 70
Now we can substitute the value of x back into the angles:
Angle 1: x = 70°
Angle 2: x + 20 = 70 + 20 = 90°
Angle 3: x - 50 = 70 - 50 = 20°
Learn more about Angles in a triangle