Lines AB and CD are parallel. If 6 measures (2x - 35)°, and 5 measures 175°, what is the value of x?
A.
x = 20
B.
x = 175
C.
x = 185
D.
x = 10
To determine the value of x, we can use the fact that corresponding angles formed by parallel lines are congruent. This means that the two angles marked with (2x - 35)° and 175° are corresponding angles since they are on the same side of the transversal (line CD) and parallel line (line AB).
Since corresponding angles are congruent, we can set up the following equation:
2x - 35 = 175
To solve for x, we first add 35 to both sides to isolate the term with x:
2x - 35 + 35 = 175 + 35
2x = 210
Next, we divide both sides by 2 to solve for x:
2x/2 = 210/2
x = 105
Thus, the value of x is 105.
Therefore, the answer is not listed in the given options, so the correct answer is None of the above.