160k views
5 votes
In the diagram of circle o, what is the measure of ZABC?

O 30°
O 40°
O 50°
O 60

In the diagram of circle o, what is the measure of ZABC? O 30° O 40° O 50° O 60-example-1
User Ilanman
by
4.4k points

2 Answers

4 votes

Answer:30

Explanation:

User Absynce
by
5.5k points
2 votes

Answer:

30°

Explanation:

Line AB and BC are tangents to the given circle.


\angle \: ABC = (1)/(2) ( 210 - 150)


\angle \: ABC = (1)/(2) (60) = 30 \degree

Alternatively, <ABC and <AOC are supplementary because AB and BC are tangents.


\angle \: ABC + 150 \degree = 180 \degree


\angle \: ABC = 180 \degree - 150 \degree = 30 \degree

The correct choice is A.

User Vasiliy Sharapov
by
5.9k points