Answer: The correct option is (D) 37.
Step-by-step explanation: Given that the two parallel lines are crossed by a transversal.
We are to find the value of x.
From the figure, we note that the angles with measures 115° and (3x + 4)° are corresponding angles. So, they must be equal.
Therefore, we must have
[tex](3x+4)^\circ=115^\circ\\\\\Rightarrow 3x+4=115\\\\\Rightarrow 3x=115-4\\\\\Rightarrow 3x=111\\\\\Rightarrow x=\dfrac{111}{3}\\\\\Rightarrow x=37.[/tex]
Thus, the required value of x is 37.
Option (D) is CORRECT.
