Question

I need the answer and explanation am kind of stuck

Answer 1

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°.