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Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?
  • a)
    1250
  • b)
    62.50
  • c)
    97.50
  • d)
    950
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two tangents are drawn from a point P on the circle with centre at O,...
since PQ and PT are tangent on circle so ∠PQO = ∠PTO = 90
In quadrilateral PQOT ∠PQO + ∠PTO + ∠QOT + ∠TPQ = 360
90 + 90 + ∠00T + 55 = 360
∠QOT = 125
since AB touches the circle hence OA and OB are the angle bisector of ∠QOS and ∠TOS respectively.
So ∠AOB = 1/2 ∠QOT = 125/2 = 62.5
Hence, the correct option is (b).
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Two tangents are drawn from a point P on the circle with centre at O, touching the circle at point Q and T respectively. Another tangent AB touches the circle at point S. If angle QPT = 55°, find the angle AOB =?a)1250b)62.50c)97.50d)950Correct answer is option 'B'. Can you explain this answer?
Question Description
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