Angle of 60°

Level Information
Instruction:	Construct an angle of 60° with the given side.
Goal:	3L 3E
Available Tools:
Location Information
Pack:	Alpha
Previous Level:	N/A
Next Level:	Perpendicular Bisector

Solutions

3L 3E Solution

Let A be the initial point of the given ray.

1. Construct a circle C1 with center A and an arbitrary radius, intersecting the ray at B
2. Construct the circle C2 with center B and radius AB, intersecting circle C1 at C and D
3. Construct line AC

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2V Solution

1. Construct line AD

Explanation

All internal angles of an equilateral triangle are 60°, so you just need to construct the two sides of an equilateral triangle adjacent to vertex A.
The two circles ensure that AB=AC=BC and AB=AD=BD and so ABC and ABD are equilateral and angles CAB and DAB are 60°.

List of Levels

Alpha Angle of 60° • Perpendicular Bisector • Midpoint • Circle in Square • Rhombus in Rectangle • Circle Center • Inscribed Square Beta W.I.P. Gamma W.I.P. Delta W.I.P. Epsilon W.I.P. Zeta W.I.P. Eta W.I.P. Theta W.I.P. Iota W.I.P. Kappa W.I.P. Lamda W.I.P. Mu W.I.P. Nu W.I.P. Xi W.I.P. Omicron W.I.P. Tutorials Equalateral Triangle • Intersect Tool • Perpendicular Bisector • Move Tool • Angle Bisector • Perpendicular • Parallel Line • Compass