kaitlyn6231 kaitlyn6231
  • 12-05-2019
  • Mathematics
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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 mBCA class=

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jcherry99
jcherry99 jcherry99
  • 12-05-2019

Answer:

< BCA = 70

Step-by-step 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

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