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Point O is the center of the circle in the diagram. What is m/_BCA

Point O is the center of the circle in the diagram. What is m/_BCA-example-1
User Mirel
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1 Answer

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Answer:

< BCA = 70

Explanation:

The complete central angle of a circle is 360 degrees. The given portion is 250 degrees.

What is left over? BOA = 360 - 250 = 110

Tangents always meet the radius at 90 degrees. Since there are two tangents <CAO = <BAO = 90 degrees.

So piecing it all together, the equation becomes

<BAO + CAO + BAO + ACB = 360

110 + 90 + 90 + <ACB = 360

290 + <ACB = 360

<ACB + 290 - 290 = 360 - 290

ACB = 70 degrees

User Yeniv
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