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

If <ABC measures 100 and is inscribed in a circle O. find <BAO and <BCO​-example-1
User Majie
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1 Answer

17 votes
17 votes

Answer:

<BCO​ = <BAO​ = 20degrees

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

User Alp Altunel
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