To solve for $x$ in the given parallelogram, we use the property that consecutive angles in a parallelogram are supplementary, meaning their sum is $180^\circ$.

Given:

• One angle is $73^\circ$.
• The consecutive angle is $(4x + 1)^\circ$.

Setting up the equation:

$73 + (4x + 1) = 180$

$4x + 74 = 180$

$4x = 106$

$x = \frac{106}{4} = 26.5$

Thus, the value of $x$ is 26.5.

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Related Questions:

1. How do you prove that opposite angles in a parallelogram are equal?
2. What are the properties of a parallelogram that help in solving angle-related problems?
3. How do you solve for unknown variables in quadrilaterals with given angles?
4. Can a parallelogram have a right angle? What does that imply?
5. How would the problem change if the parallelogram was a rhombus?

Tip: In any parallelogram, opposite angles are always equal, and consecutive angles are supplementary!