This is a question involving angles formed by parallel lines and a transversal. The angles marked are $136^\circ$ and $(3x + 1)^\circ$.

Since the two lines are parallel and a transversal cuts through them, the two angles shown are supplementary (they add up to 180°) because they form a linear pair.

We can set up the equation:

$136^\circ + (3x + 1)^\circ = 180^\circ$

Now, solve for $x$:

1. Simplify the equation: $136 + 3x + 1 = 180$ $137 + 3x = 180$

2. Subtract 137 from both sides: $3x = 180 - 137$ $3x = 43$

3. Divide both sides by 3: $x = \frac{43}{3} = 14.33$

There seems to be no matching option for this exact decimal. Based on the provided answer choices, it seems the problem may expect a different interpretation or rounding. Would you like more details on the approach, or should we examine any potential issue further? Also, here are some expanded questions:

1. Why are the two angles supplementary in this scenario?
2. How are linear pairs of angles related?
3. What other angle relationships exist when parallel lines are cut by a transversal?
4. Could there be rounding or mistake in either the answer key or the equation setup?
5. How would you handle similar problems with angles on intersecting lines?

Tip: Always check if angles are supplementary, complementary, or equal when dealing with parallel lines and transversals.