Answer: 265
Explanation
Minor arc AC is 95°. It goes from A to C along the circle's boundary, and follows the shorter pathway.
Meanwhile, major arc x is also along the circle from A to C. But this time we take the longer way around.
The minor arc and major arc add up to 360 degrees. This is because the pieces glue to form a full circle.
x+95 = 360
x = 360-95
x = 265
Notes:
- Angle ABC = 85° is never used. Your teacher probably put that in as a distraction.
- A minor arc is always less than 180°.
- A major arc is always greater than 180°, but less than 360°.
