Practice drawing angles in 1-degree increments using a protractor.

To solve this problem, you need to draw angles using a protractor. Since I cannot draw on the page for you, I will explain exactly how to draw each angle step-by-step so you can do it yourself.

General Steps for Drawing Any Angle:
1. Start with the ray: Each problem gives you a horizontal line (a ray) with an endpoint on the left. This is your starting side.
2. Place the protractor: Put the center hole of your protractor exactly on the endpoint of the ray. Make sure the bottom line of the protractor lines up perfectly with the horizontal ray.
3. Find the degree mark: Look at the numbers on the curved edge of the protractor. Find the number that matches the angle you need to draw (e.g., 10°, 15°, etc.). *Note: Start counting from 0° on the right side where the ray is.*
4. Make a dot: Make a small pencil dot at that degree mark.
5. Draw the second ray: Use a ruler or the straight edge of your protractor to draw a line from the endpoint through the dot you just made.
6. Label it: Write the degree measure near the angle if required.

Here are the specific instructions for each item:

1. 10°
- Place protractor center on the endpoint.
- Find the 10° mark on the inner scale (closest to the ray).
- Make a dot and draw a line from the endpoint through the dot. The line will be very close to the horizontal ray.

2. 15°
- Place protractor center on the endpoint.
- Find the 15° mark.
- Make a dot and draw a line from the endpoint through the dot.

3. 40°
- Place protractor center on the endpoint.
- Find the 40° mark.
- Make a dot and draw a line from the endpoint through the dot. This angle will look noticeably open.

4. 45°
- Place protractor center on the endpoint.
- Find the 45° mark. (This is halfway between 40° and 50°).
- Make a dot and draw a line from the endpoint through the dot.

5. 60°
- Place protractor center on the endpoint.
- Find the 60° mark.
- Make a dot and draw a line from the endpoint through the dot. This is a common angle in geometry.

6. 115°
- Place protractor center on the endpoint.
- Find the 115° mark. This is an obtuse angle (greater than 90°), so the line will lean backward to the left.
- Make a dot and draw a line from the endpoint through the dot.

7. 140°
- Place protractor center on the endpoint.
- Find the 140° mark. This is also an obtuse angle.
- Make a dot and draw a line from the endpoint through the dot.

8. 175°
- Place protractor center on the endpoint.
- Find the 175° mark. This is very close to a straight line (180°).
- Make a dot and draw a line from the endpoint through the dot. The new ray will be almost flat against the original ray but pointing slightly upward.

Final Answer:
The task requires drawing angles of 10°, 15°, 40°, 45°, 60°, 115°, 140°, and 175° using a protractor based on the given rays. Follow the steps above to accurately construct each angle.