How do I draw a 64 degree angle in between a 6cm by 5cm triangle please

what does "between a ... triangle" mean?

Degree

To draw a 64 degree angle within a triangle, you can follow these steps:

Step 1: Draw the triangle. Use a ruler to draw a horizontal line segment of 6cm as the base of the triangle. Then, from one end of the base, draw a vertical line segment of 5cm to create the triangle.

Step 2: Identify the vertex where you want to draw the 64 degree angle. Let's call this vertex "A."

Step 3: Draw a ray (half-line) starting from vertex A that extends beyond the triangle. This ray will be one side of the desired angle.

Step 4: To construct a 64 degree angle, you'll need to divide that angle into smaller angles of known measures using a protractor. However, since the smallest angle in a triangle is 180 degrees divided by 3 (in this case, 60 degrees), it is not possible to directly construct a 64 degree angle within the triangle using basic tools like a protractor.

If you still want to approximate a 64 degree angle, you can use the following method:

Step 5: On the ray you drew from vertex A, measure a small segment of any length (e.g., 2cm) using a ruler and call it "B."

Step 6: Using a protractor, measure a 60 degree angle from segment AB at point A. We know we can construct a 60 degree angle since it is the smallest angle in an equilateral triangle. Call the point where this angle intersects the ray "C".

Step 7: Using a ruler, draw a line segment from point C to the opposite end of the base of the triangle. This will complete the 60 degree angle within the triangle.

Step 8: To obtain a 64 degree angle, you can then estimate an additional 4 degrees by slightly rotating the line segment drawn in Step 7. The line segment can be rotated by simply drawing a new line segment that forms a slightly smaller angle with the base of the triangle.

Remember, this method only approximates a 64 degree angle, as it is not possible to construct it precisely within the given triangle geometry.