Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: 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?
user