MathematicsGiven that the measure of ∠AOC= 150 ° .   What will be the measure of ∠ABC  ? 

Given that the measure of AOC= 150 ° .   What will be the measure of ABC  ?


 

  1. A
    105 °  
  2. B
    115 °  
  3. C
    125 °  
  4. D
    135 °   

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    Solution:

    It is given that AOC= 150 ° .  
    By degree measure theorem we get,
    ABC= ( reflex AOC) 2             AOC+  reflex (AOC)= 360 °      …[Angles at a point]  150 ° + reflex AOC = 360 °  reflex AOC = 360 ° 150 ° reflex AOC = 210 ° ABC = 210 ° 2 ABC = 105 °  
    Therefore, the correct option is (1).
     
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