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P is the center of the circle, and ∠XPZ = 120°, ∠XZY = 35°, then the measure of ∠YXZ is: 
  • a)
    50°
  • b)
    25°
  • c)
    35°
  • d)
    60° 
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
P is the center of the circle, and ∠XPZ = 120°, ∠XZY = 35&...

∠XPY = 2∠XOP. 
∵ ∠XOP = ∠XZY
(angles in the same segment)
∴ ∠XPY = 2 ∠XZY …(i)
Similarly, 
∠YPZ = 2 ∠YXZ …(ii)
Using (i) and (ii)
∠XPZ = 2 (∠XYZ + ∠YXZ)
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