To solve this problem:

Key Observations:

1. In a parallelogram, opposite angles are equal.
2. Adjacent angles in a parallelogram are supplementary (their sum is $180^\circ$).

Given Information:

• Two angles are labeled $56^\circ$.
• The adjacent angles are labeled $6x + 4$.

Step-by-Step Solution:

1. The adjacent angles $56^\circ$ and $6x + 4$ must satisfy the supplementary angle condition: $56 + (6x + 4) = 180$

2. Simplify the equation: $56 + 6x + 4 = 180$ $6x + 60 = 180$

3. Subtract 60 from both sides: $6x = 120$

4. Solve for $x$: $x = \frac{120}{6}$ $x = 20$

Final Answer:

$x = 20$

Would you like a further breakdown of the solution or related explanations?

Related Questions:

1. What are the properties of a parallelogram's angles and diagonals?
2. How do adjacent angles behave in other quadrilaterals?
3. What is the significance of supplementary angles in geometry?
4. How would the problem change if the parallelogram had different angle values?
5. What are the other methods to verify the result in this problem?

Tip: Always verify whether your computed angles satisfy the conditions of a parallelogram!