Construct an angle of 240° using a compass and ruler.

To construct an angle of 240° using a compass and ruler, follow these steps:

Materials Needed

• Compass
• Ruler
• Pencil
• Paper

Step-by-Step Instructions

1. Draw a Base Line

Begin by drawing a straight horizontal line on your paper. This will serve as the base of your angle.

2. Mark the Vertex

Choose a point on the line to be the vertex of your angle. Label this point as point A.

3. Create a 240° Angle

To create a 240° angle, you first need to find the equivalent angle in the first rotation. Since 240° is in the third quadrant, you can subtract 180° to find the reference angle, which is 60°.

4. Draw a 60° Angle

Using your compass, place the point at point A and draw an arc that intersects the base line. This will help you mark a point for the 60° angle. Without changing the compass width, place the compass point on the intersection and draw another arc above the base line.

5. Mark the Intersection

Label the intersection of the two arcs as point B. Draw a line from point A through point B. This line represents a 60° angle from the base line.

6. Extend to 240°

Now, to find the 240° angle, extend the line from point A in the opposite direction of point B. This line will create an angle of 240° with the base line.

Final Touches

Label the angle as needed, and you have successfully constructed a 240° angle using a compass and ruler!