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

Answer:

The correct option is A.

Step-by-step 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

$\angle ABC=\frac{1}{2}\times \angle AOC$

$\angle ABC=\frac{1}{2}\times (130)$

$\angle ABC=65$

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