In the given figure, AP and BP are tangents to a circle with centre O. If ∠APB = 620 then the measure of ∠AQB is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 59o.
| Understanding/Application |
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Since AP and BP are tangents to the circle with centre O: ∠PAO = ∠PBO = 900 So, ∠APB + ∠AOB = 1800 ⇒ 620 + ∠AOB = 1800 ⇒ ∠AOB = 1800 - 620 = 1180 |
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The angle at the centre is twice the angle at the circumference: 2∠AQB = ∠AOB ⇒ ∠AQB = 1180/2 ⇒ ∠AQB = 590 |