Angle Loop Puzzles

These angle loop puzzles from Naoki Inaba challenge you to create a closed loop that matches all of the angle measurements that it travels through.

Looking for more printable geometry puzzles for your classroom? Here’s just a few examples of other geometry puzzles I have shared!

• 
  Sum of Interior Angles of Polygons Crossnumber Puzzles
• 
  Geometry Hidden Word Puzzle
• 
  Angle Loop Puzzles
• 
  Perimeter Puzzles
• 
  Geometry Puzzles
• 
  Sankaku Puzzles (Triangle Area Puzzles)

What are Angle Loop Puzzles?

Angle Loop Puzzles (originally published as 角 DE ループ) are a type of geometry puzzle that involves making a closed loop through all the points on the grid. Whenever the loop passes through a number, it must form the angle indicated by the number.

For example, if the loop passes through the number 120, the loop must form a 120 degree angle at that point.

The loop should not intersect itself.

These puzzles are perfect for encouraging critical thinking and make a great extension task while studying angles in geometry!

Puzzle Source

These Angle Loop Puzzles are the creation of prolific Japanese puzzle creator, Naoki Inaba. Inaba’s website is a treasure trove of puzzles for math teachers, but it is entirely written in Japanese.

Puzzle Solutions

I do not have an answer key for this puzzle yet, but it’s on my to do list. Coming soon!