Answer:
reflex ∠AOC = 278°
Step-by-step explanation:
You need to know a couple of things to solve this problem:
- the total number of degrees in a circle is 360°
- the measure of an inscribed angle is half the measure of the central angle that subtends the same arc
- the measure of an arc and its central angle are the same.
The second of these means short arc AC is 2×41° = 82°.
The first of these means long arc ABC is 360° -82° = 278°. The central reflex angle AOC subtends the same arc, so has the same measure:
reflex ∠AOC = 278°
