Constructing a 60° angle
Geometry construction using a compass and straightedge
This page shows how to construct (draw) a 60 degree angle with compass and straightedge or ruler. This construction works by creating an
Recall that an equilateral triangle has all three
60°. We use one of those angles to get the desired 60 degree result. See the proof below for more details.
Printable step-by-step instructions
The above animation is available as a
printable step-by-step instruction sheet, which can be used for making handouts
or when a computer is not available.
This construction works by creating an
Recall that an equilateral triangle has all three interior angles 60°.
The image below is the final drawing above with the red items added.
||Line segments AB, PB, PA are
||All drawn with the same compass width.
||Triangle APB is an
||Equilateral triangles are those with all three sides the same length.
||Angle APB has a measure of 60°
||All three interior angles of an equilateral triangle have a measure of 60°.
See Equilateral triangle definition
Try it yourself
Click here for a printable worksheet containing two 60° angle exercises.
When you get to the page, use the browser print command to print as many as you wish. The printed output is not copyright.
Constructions pages on this site
Circles, Arcs and Ellipses
(C) 2009 Copyright Math Open Reference. All rights reserved