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The image you've uploaded shows a quadrilateral \( WXYZ \) with angle measures \( \angle W = 99^\circ \) and \( \angle X = 104^\circ \). The side lengths appear to be algebraic expressions involving \( x \):

- Side \( WZ = 7x + 11 \)
- Side \( XY = 2 + 11x \)

We can approach this problem in two main ways:

1. **Identify the type of quadrilateral**:
   - From the angles given (\( 99^\circ \) and \( 104^\circ \)), we can deduce that this figure is most likely a **trapezoid**, as two of its sides are slanted. In a trapezoid, only one pair of opposite sides are parallel.

2. **Solve for \( x \)**:
   - To find the value of \( x \), we'd need more information about the side relationships, possibly through the trapezoid's properties, such as the lengths of the parallel sides or any additional angles or sides provided.

Would you like to focus on solving for the side lengths \( x \), or would you prefer more details on the type of quadrilateral and its properties?

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Here are 5 questions to expand on this:

1. Would you like to calculate the length of the sides in terms of \( x \)?
2. Should we explore the properties of the trapezoid further, such as parallel sides?
3. Would you like to verify if this is a trapezoid or another type of quadrilateral?
4. Are you interested in calculating other angles of the quadrilateral?
5. Do you have any specific questions about how the algebraic expressions relate to the sides?

**Tip**: In a trapezoid, the sum of the interior angles is always 360 degrees!

Given quadrilateral WXYZ with angles W = 99° and X = 104°, and side lengths WZ = 7x + 11 and XY = 2 + 11x, solve for x and identify the type of quadrilateral.

This problem involves solving for x in quadrilateral WXYZ with angle measures of 99° and 104°, and sides expressed as algebraic expressions. Learn about trapezoid properties and the sum of interior angles in this geometry and algebra-focused problem.

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