Task 531
Task 531: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. A circle centered at $O$ is circumscribed about $\triangle ABC$ as follows: asy pair pA, pB, pC, pO; pO = (0, 0); pA = pO + dir(-20); pB = pO + dir(90); pC = pO + dir(190); draw(pA--pB--pC--pA)…
The task
A circle centered at $O$ is circumscribed about $\triangle ABC$ as follows: [asy] pair pA, pB, pC, pO; pO = (0, 0); pA = pO + dir(-20); pB = pO + dir(90); pC = pO + dir(190); draw(pA--pB--pC--pA); draw(pO--pA); draw(pO--pB); draw(pO--pC); label("$O$", pO, S); label("$110^\circ$", pO, NE); label("$100^\circ$", pO, NW); label("$A$", pA, SE); label("$B$", pB, N); label("$C$", pC, SW); draw(circle(pO, 1)); [/asy] What is the measure of $\angle BAC$, in degrees?