Question

What is the measure of ABC?

Answer 1

Use the information from the last question you got the answer to and use it to solve this. It’s the same idea, just a flipped version.

Answer 2

The correct option is A.

Explanation:

Let O be the center of the circle.

It is given that the length of arc AC is 130°. It means the central angle of arc AC is 130°.

`\angle AOC=130^(\circ)`

According to the central angle theorem, the measure of angle inscribed on the circle is half of its central angle.

Using central angle theorem, we get

`\angle ABC=(1)/(2)* \angle AOC`

`\angle ABC=(1)/(2)* (130)`

`\angle ABC=65`

The measure of angle ABC is 65°. Therefore the correct option is A.