In a circle with centre O, PQR is a tangent at the point Q on it. AB is a chord in the circle parallel to the tangent such that ∠BQR = 70o. What is the measure of ∠AQB?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 40o.
In the given figure, the chord AB gets bisected by the perpendicular
The middle of AB be M(say)
⇒ AM = MB
⇒ ∠QMB = ∠QMA
⇒ LQ = LQ
⇒ ∆QMA ≅ ∆QMB
⇒ ∠AQL = ∠BQL = 20°(90° - 70°)
⇒ 2 × 20°
⇒ 40°