HF RL Explorer

Task 1185

Task 1185: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. A floor decoration is a circle with eight rays pointing from the center. The rays form eight congruent central angles. One of the rays points due north. What is the measure in degrees of the smaller…

The task

A floor decoration is a circle with eight rays pointing from the center. The rays form eight congruent central angles. One of the rays points due north. What is the measure in degrees of the smaller angle formed between the ray pointing East and the ray pointing Southwest? [asy] size(3cm,3cm); draw(unitcircle); draw((0,0.8)--(0,-0.8),Arrows(HookHead)); draw((-0.8,0)--(0.8,0),Arrows(HookHead)); draw((-0.55,0.55)--(0.55,-0.55),Arrows(HookHead)); draw((-0.55,-0.55)--(0.55,0.55),Arrows(HookHead)); [/asy]