Square Triangle

How many triangles have all three angles perfect squares (in degrees)?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

How many triangles have three angles that are all perfect squares, when measured in degrees?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.