Final answer:
The expressions given for angles suggest they are supplementary angles formed by parallel lines cut by a transversal. By solving the equation 10x - 1 + 3x + 12 = 180, we find that the value of 'x' is 13, which does not match any of the provided options.
Step-by-step explanation:
The student's question seems to be referring to the angles formed by parallel lines cut by a transversal, likely asking to find the value of 'x' when two expressions for angles are given. These expressions represent the angles formed by parallel lines and a transversal. Since nm∥n, if the angles are on the same side of the transversal and are interior, they are supplementary, meaning their measures add up to 180 degrees. We can set up an equation with the expressions given:
10x - 1 + 3x + 12 = 180
Solving for 'x', we combine like terms to get:
13x + 11 = 180
Then subtract 11 from both sides:
13x = 169
Finally, divide by 13:
x = 13
The value of 'x' is therefore 13, which means the correct answer is not listed among the choices provided by the student.