I'll review the worksheet and extract the problems on understanding quadrilaterals so I can solve them for you. Allow me a moment.Here are the questions I found related to understanding quadrilaterals, along with solutions:

1. Find the missing values

This refers to a polygon where certain interior/exterior angle measures are missing. To solve such questions, we use the formula for the sum of interior angles of a polygon: $\text{Sum of interior angles} = (n-2) \times 180^\circ$ where $n$ is the number of sides.

For the exterior angles, each angle is: $\text{Exterior angle} = \frac{360^\circ}{n}$

Apply these formulas based on the specific number of sides provided in the worksheet.

2. In a parallelogram ABCD, find the values of $x$, $y$, and $z$

Parallelograms have properties where opposite angles are equal, and consecutive angles are supplementary (i.e., their sum is $180^\circ$). Use these properties to solve for the unknowns.

3. What will be the exterior angle of a polygon if each of its interior angles is $155^\circ$?

The exterior angle of any polygon is calculated using: $\text{Exterior angle} = 180^\circ - \text{Interior angle}$ For this problem: $\text{Exterior angle} = 180^\circ - 155^\circ = 25^\circ$

4. Two adjacent angles of a parallelogram are in the ratio 4:3. What will be the angles?

For a parallelogram, the sum of adjacent angles is $180^\circ$. Let the angles be $4x$ and $3x$, then: $4x + 3x = 180^\circ$ $7x = 180^\circ \quad \Rightarrow \quad x = \frac{180^\circ}{7} = 25.71^\circ$ Thus, the angles are $4x = 102.86^\circ$ and $3x = 77.14^\circ$.

5. Find each exterior angle of a regular pentagon

For any regular polygon: $\text{Exterior angle} = \frac{360^\circ}{n}$ For a pentagon ($n = 5$): $\text{Exterior angle} = \frac{360^\circ}{5} = 72^\circ$

Would you like a detailed explanation for any of these solutions or help with other questions from the worksheet?

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Here are five related questions to deepen your understanding:

1. How do you find the interior angle of a regular hexagon?
2. What are the properties of the diagonals in a rhombus?
3. How do you determine the sum of the exterior angles for any polygon?
4. What conditions must a quadrilateral meet to be classified as a rectangle?
5. How do you calculate the length of diagonals in a square given its side length?

Tip: Always remember that the sum of the exterior angles of any polygon, regardless of its number of sides, is always $360^\circ$.