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In the following figure. AB be diameter of a circle whose centre is O. If  ∠AOE = 150°. ∠DAO = 51° then the measure of ∠CBE is:    (SSC Sub. Ins. 2013)
  • a)
    115°
  • b)
    110°
  • c)
    105°
  • d)
    120°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the following figure. AB be diameter of a circle whose centre is O....

∠AOE = 150°
∠DAO = 51°
∠EOB = 180° – 150° = 30°
OE = OB = radius
∴ ∠OEB = ∠OBE =  150/2 = 75°
∴ ∠CBE = 180° – 75° = 105°
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In the following figure. AB be diameter of a circle whose centre is O. If ∠AOE = 150°. ∠DAO = 51° then the measure of ∠CBE is: (SSC Sub. Ins. 2013)a)115°b)110°c)105°d)120°Correct answer is option 'C'. Can you explain this answer?
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