Final answer:
To find the value of x for the angles of a triangle, we set up an equation based on the sum of angles in a triangle being 180 degrees and solve for x. In this case, the value of x is 18.
Step-by-step explanation:
The student is asking to find the value of x in a triangle WYZ with given angle measures. The sum of angles in any triangle is 180°, which gives us the equation:
- m∠W + m∠Y + m∠Z = 180°
- (6x)° + (x + 9.5)° + (2x + 8.5)° = 180°
- 9x + 18 = 180
- 9x = 162
- x = 18
Thus, solving the equation, we can determine that the value of x is 18.