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General
Easy

Question

‘0’ is the centre of the circle and B A C plus B O C equals 120 to the power of ring operator end exponent text  then  end text angle C O B equals

  1. 30°    
  2. 80°    
  3. 60°    
  4. 120°    

The correct answer is: 60°


    angle B O C equals angle 2 B A C space left parenthesis space T h e space a n g l e space s u b t e n d e d space b y space a n space a r c space a t space t h e space c e n t e r space i s space d o u b l e space t h e space a n g l e space s u b t e n d e d space b y space i t space a t space a n y space p o i n t space o n space t h e space r e m a i n i n g space p a r t space o f space t h e space c i r c l e right parenthesis
L e t space angle B A C equals x
t h e n space space angle B O C equals 2 x
x plus 2 x equals 120 to the power of ring operator
3 x equals 120 to the power of ring operator
x equals 40 to the power of ring operator
C O B equals 80 to the power of ring operator

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