- Construction of a 65 Degree Angle using Ruler and Compasses
To construct a 65 degree angle using ruler and compasses, follow these steps:
- Step 1: Draw a Base Line
Start by drawing a straight line using a ruler. This will serve as the base for your angle construction.
- Step 2: Place the Compass on the Endpoint
Place the compass at one endpoint of the base line and draw an arc that intersects the base line.
- Step 3: Set the Compass Width
Without changing the width of the compass, place the compass on the intersection point of the arc and the base line.
- Step 4: Draw Another Arc
Draw another arc intersecting the first arc to form an angle.
- Step 5: Connect the Endpoint to the Intersection
Use a straight edge or ruler to connect the endpoint of the base line to the intersection point of the two arcs. This line will form a 65 degree angle with the base line.
- Step 6: Verify the Angle
Use a protractor to verify that the angle you have constructed is indeed 65 degrees.
By following these steps carefully and accurately, you can easily construct a 65 degree angle using ruler and compasses. Remember to practice and take your time to ensure precision in your construction.