Answer: 60° angle construction
Step-by-step explanation:
The geometric construction shown is on a 60 degree angle construction with a compass and straightedge or ruler. The pattern followed is that of making an equilateral triangle. Note that each three interior angles of an equilateral triangle is 60°. Using one of those angles we can get the desired angle in the following steps:
1. Draw a line segment which will become one side of the angle. The exact length is not that important. Label this line AB. A will be the angle's vertex.
2. Set the compasses on A; set its width to any convenient expansion
3. Draw an arc across AB and up over above the point A.
4. Without changing the compasses' width (expansion), move the compasses to the point where the arc crosses AB, and make an arc that crosses the first one.
5. Draw a line from A, through the intersection of the two arcs.
6. Done. The angle CAB has a measure of 60°
