If <ABC measures 100 and is inscribed in a circle O. find <BAO and <BCO

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

<BCO = <BAO = 20degrees

Step-by-step explanation:

If <ABC measures 100 and is inscribed in a circle O. find <BAO and <BCO

To get <BAO and <BCO, we need to get <AOC first.

From the figure, it can be seen that triangle ABC is an isosceles trinagle. Hence;

<BAC + <BCA + 100 = 180

Since <BAC = <BCA

<BAC + <BAC = 180 - 100

2<BAC = 80

<BAC = 80/2

<BAC = 40

Also;

<BAO = <BCO and <BAO = <BAC/2

<BAO = 40/2 = <BCO

Hence <BCO = <BAO = 20degrees

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