Constructing A 60° Angle (without using a set square)
How to construct an angle of 60° without using a set square or a protractor
What you start with
Shown above is a line of any length. You are aiming to create a new line that will make an angle of 90° to this line.
- Line segment AB, AC and CB are congruent as they are all drawn with the same compass width.
- Triangle ABC is an equilateral triangle as it has three sides of equal length.
- Angle CAB has a measure of 60 degrees because all three interior angle of an equal triangle have a measure of 60 degrees.
Constructing a 60° angle Interactive