https://file.aiquickdraw.com/mathbot/file/17259223114753m99m40h.jpg

The image shows a quadrilateral with two pairs of opposite angles marked with expressions \(6x^\circ\) and \(4x^\circ\). This quadrilateral appears to be a parallelogram since opposite sides are marked as equal (as indicated by the same number of marks on opposite sides).

### Key Properties of a Parallelogram
1. Opposite angles of a parallelogram are equal.
2. The sum of the interior angles of a parallelogram is \(360^\circ\).

### Solving for \(x\)
Since the quadrilateral is a parallelogram:
\[
\text{Sum of all interior angles} = 360^\circ
\]

We have:
\[
2(6x) + 2(4x) = 360
\]

Simplify the equation:
\[
12x + 8x = 360
\]

Combine like terms:
\[
20x = 360
\]

Solve for \(x\):
\[
x = 18
\]

### Conclusion
The value of \(x\) is **18**.

If you'd like more details or have any questions, feel free to ask!

### Related Questions:
1. How do we calculate the individual angles of the parallelogram after finding \(x\)?
2. What are the properties of different types of quadrilaterals?
3. How can we verify that the given figure is indeed a parallelogram?
4. What happens to the angle measures if this were a different type of quadrilateral?
5. Can a parallelogram have all equal sides and angles? What is it called?

### Tip:
When dealing with geometry problems involving angles, always consider the properties of the shapes and use algebra to find unknown values efficiently.

What is the value of x for the given parallelogram where the opposite angles are 6x° and 4x°?

Learn how to solve for x in a parallelogram where opposite angles are given as 6x° and 4x°. This problem demonstrates the properties of parallelograms and the relationship between angles in a quadrilateral. Suitable for Grades 8-10 students learning geometry.

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