MathematicsIn given, BC is a diameter of the circle and ∠BAO = 60º. Then what is the measure of ∠ADC?

In given, BC is a diameter of the circle and ∠BAO = 60º. Then what is the measure of ∠ADC?


  1. A
    30 °  
  2. B
    45 °  
  3. C
    90 °  
  4. D
    60 °   

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    Solution:

    Given that, line segment BC is the diameter of the circle and ∠BAO= 60 ° .   From the given figure, in triangle ∠OAB.   The diameter of the circle is OA=OB.   Since the angles which are opposite to the equal sides are equal, so ∠ABO=∠BAO= 60 °  .
    Angles which are in the same segment of a circle are equal,
    ∠ADC=∠ABC= 60 °   Thus ∠ADC= 60 °  .
    Hence, option 4 is correct.
     
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