Instruction: Construct an angle equal to the given one so that they share one side.

Goal: 3L 3E

Available tools:

• Move
• Point
• Line
• Circle
• Perpendicular Bisector
• Angle Bisector
• Intersect

Pack: Beta

Previous level: 2.3

Next level: 2.5

## 3L 3E solution

Let O be the vertex of the angle.

1. Construct a circle C1 with an arbitrary center A on one ray and an arbitrary radius so that it intersects the other ray at least once. Let B be one of those intersections
2. Construct a circle C2 with another arbitrary center C on the first ray and radius BC, intersecting circle C1 at D
3. Construct line OD

Alternate 3L 3E solution:

Let O be the vertex of the angle.

1. Construct the circle C1 with center O and an arbitrary radius, intersecting the first ray at A and the second ray at B
2. Construct a circle C2 with an arbitrary center C on the first ray and radius BC, intersecting circle C1 at D
3. Construct line OD

## 2V solution

1. Construct a circle C3 with an arbitrary center E on the second ray and an arbitrary radius so that it intersects the first ray at least once. Let F be one of those intersections
2. Construct a circle C4 with another arbitrary center G on the second ray and radius FG, intersecting circle C3 at H
3. Construct line OH