What is the measure of ABC?

Question

asked Dec 24, 2019 157k views

2 Answers

Nadina · Answer 1 · 2019-12-25T11:19:59+0000

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.

Strohtennis · Answer 2 · 2019-12-29T10:48:01+0000

Answer:

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.