Question

Im so stuck.........

Answer 1

reflex ∠AOC = 278°

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°