1. AC is a chord of circle whose centre is at 0. If B is any point on the arc AC and ∠OCA = 20°, then the magnitude of ∠ABC is





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  • By: anil on 05 May 2019 01.53 am
    OC=OA=radius .Hence , the angles opposite to these sides must also be equal.
    So, ∠OCA=20 = ∠OAC. Hence , ∠AOC = 180 - 20 -20 = 140.
    Now consider a point D on the major at of AC and join D to A & C. This gives △ADC.
    So . ∠AOC= 2*∠ADC So, ∠ADC= 140/2 = 70
    Now , ADCB is a cyclic quadrilateral sum of whose all opposite is 180.
    So, ∠D + ∠B = 180 .
    ∠B = 180 - 70 = 110.



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