AB a diameter of a circle with centre O. The tangent at a point C on the circle meets AB produced at Q. If ∠CAB = 42o, then what is the measure of ∠CQA?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 6o
We have given that,
⇒ ∠CAB = 42o
⇒ ∠OCQ = 90o
⇒ ∠OCA = 42o (Equal side-equal angle)
⇒ ∠ACQ = 90o + 42o = 132o
In triangle ACQ
⇒ ∠AQC = 180 - 132 - 42
⇒ 6o