Final answer:
Given that lines L and M are parallel and m 2 is 35 degrees, corresponding angles or alternate interior angles imply that m 23 is also 35 degrees. By setting the equation 4x - 13 equal to 35 and solving for x, we find that the value of x is 12. The correct option is a) 12
Step-by-step explanation:
The question involves determining the value of x based on two given angles related to parallel lines. Since lines L and M are parallel, and m 2 is 35 degrees, m 23, which relates to these lines, would also be 35 degrees due to corresponding angles or alternate interior angles, depending on the configuration of the lines and angles.
We can set up an equation stating 4x - 13 equals 35 because m 23 is described by the expression 4x - 13:
4x - 13 = 35
Solve for x by adding 13 to both sides, then dividing both sides by 4:
4x = 48
x = 12
Thus, the value of x is 12, which corresponds to option (a) from the provided choices. The correct option is a) 12