[DB146] Angles in a Box

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145 - 500 Pearls

146 - Angles in a Box

147 - Sliding Labyrinth

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Angles in a Box
Game	Professor Layton and the Diabolical Box
Number	146
Type	Write Answer
Location	Layton's Challenges
Solved by	Luke
Picarats	70
Mandatory	No
Reward	None
In other languages
日本語	箱の角度 hako no kakudo
Deutsch	Würfelwinkel
Español	Los ángulos del cubo
Français	Boîte à angle
Italiano	Angoli e linee
Nederlands	Hoeken in een doos
한국의	상자의 각도

Angles in a Box is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

In the cube below, in the center of three sides of the cube are dots A, B and C. Lines connect the dots.

How many degrees is the angle ABC at the point where lines AB and BC meet? This refers to the internal angle, of course.

UK Version

On the diagram below, A, B and C indicate the centre point of three edges of the cube. These points are connected by lines.

How many degrees is the internal angle ABC at the point where lines AB and BC meet?

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

US Version

There's no need to do any complicated calculations. Visualization is the important part.

The three points are each in the center of the sides of a regular cube.

UK Version

There's no need to do any complicated calculations. Visualisation is the important part.

The three points are each on the centre points of the edges of a regular cube.

US Version

The three points are each in the middle of a side on a regular cube. Think about the other center points. What would happen if you continued connecting center points in this fashion?

UK Version

The three points are each in the centre point of a regular cube's edge. Think about the other centre points. What would happen if you continued connecting centre points in this fashion?

US Version

Think about the regular geometric figures you can create with points A, B, and C.

You could create a regular hexagon, couldn't you? And the internal angles of regular hexagons are always 120 degrees.

UK Version

Think about the regular geometric figures you could create that include points A, B and C.

You could create a regular hexagon, couldn't you?

Solution

Incorrect

Too bad!

US Version

This problem is more about visualization than calculation.

UK Version

This puzzle is more about visualisation than calculation.

Correct

Good job!

The answer is 120 degrees.

US Version

If you continued to connect the middle points of sides in this way, you would draw a regular hexagon. And the internal angles in regular hexagons are always 120 degrees!

UK Version

If you continued to connect the middle points of the edges in this way, you would draw a regular hexagon. And the internal angles in regular hexagons are always 120 degrees!