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What is the measure of ABC?

What is the measure of ABC?-example-1
User Bdavidxyz
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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.

User Nadina
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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.

What is the measure of ABC?-example-1
User Strohtennis
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