Question

Each figure is a parallelogram. Use the properties of parallelograms to find the value of x



Finish the equation: 6x+14


Solve the equation and state the value of x.

x=

Answer 1

To solve for \( x \) using the properties of parallelograms, we first note that opposite angles and sides of a parallelogram are equal.

Assuming that you are referring to opposite angles or sides that are represented in an equation (though it appears you may need to provide the complete equation), I will give you an example.

Let's say you are comparing two opposite angles in a parallelogram, represented by the equation:

\[
6x + 14 = 180
\]

1. **Set the equation**: \( 6x + 14 = 180 \)
2. **Isolate the term with \( x \)**:
- Subtract 14 from both sides:
\[
6x = 180 - 14
\]
\[
6x = 166
\]
3. **Solve for \( x \)**:
- Divide both sides by 6:
\[
x = \frac{166}{6}
\]
\[
x = 27.67 \text{ (to 2 decimal places)}
\]

### Final Result
- If the equation you are working with is \( 6x + 14 = 180 \), then:
\[
x \approx 27.67
\]

If this wasn't the case and you meant something different, please provide additional context or the complete equation.