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I can see that you have shared an image with a set of questions and answers related to polygons. Here’s a detailed breakdown of the questions and the corresponding answers based on what is visible in the image:

### 1. Name the polygon with 9 sides.
   - **Answer**: Nonagon.

### 2. Which of the following quadrilaterals is a square?
   - **Options**: 
     1. Rhombus
     2. Rectangle
     3. Square
     4. Both A and C
   - **Answer**: Both A and C (Rhombus and Square).

### 3. Write the number of diagonals of a regular decagon.
   - **Answer**: (The answer is not provided in the image, but the number of diagonals for a decagon is 35).

### 4. Write the name of the polygon which has 17 diagonals.
   - **Answer**: (The answer is not provided, but the polygon with 17 diagonals is an octagon).

### 5. The sum of interior angles of a pentagon is...
   - **Answer**: (Not fully visible, but the sum of interior angles of a pentagon is 540°).

### 6. Write the measure of each exterior angle of an equilateral triangle.
   - **Answer**: Each exterior angle of an equilateral triangle is 120°.

### 7. Write the number of sides of a regular polygon whose exterior angle is 24°.
   - **Answer**: (Not provided, but you can calculate it using the formula \( \text{Exterior Angle} = \frac{360^\circ}{n} \). Solving for \( n \), the number of sides is 15).

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Would you like further explanations on any of the solutions or help with the incomplete answers? Here are some additional questions to deepen your understanding:

1. How do you calculate the number of diagonals of any polygon?
2. What is the formula for the sum of interior angles of a polygon?
3. How can you prove that the sum of exterior angles of any polygon is always 360°?
4. Can you explain why a rhombus and a square are considered similar in some contexts?
5. How do you derive the measure of each exterior angle in a regular polygon?

### Tip:
Remember, for any regular polygon, the sum of its exterior angles is always 360°, regardless of the number of sides.

Name the polygon with 9 sides. Which of the following quadrilaterals is a square? Write the number of diagonals of a regular decagon. Write the name of the polygon which has 17 diagonals. The sum of interior angles of a pentagon. Write the measure of each exterior angle of an equilateral triangle. Write the number of sides of a regular polygon whose exterior angle is 24.

This problem set covers key concepts in polygons, including finding the number of sides and diagonals, calculating interior and exterior angles for regular polygons, and solving equilateral triangle problems. Suitable for students in Grades 7-9.

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