Advertisements
Advertisements
Question
In the adjoining figure, AP and AQ are tangents to the circle with centre O. If reflex ∠POQ = 210°, the value of 2x is:
Options
30°
60°
120°
300°
MCQ
Advertisements
Solution
60°
Explanation:
Given, ∠POQ = 210°, therefore, interior ∠POQ = 360 − 210 = 150°
Also, AP and AQ are tangents to the circle, ∠APO = ∠AQO = 90°
Now, In the quadrilateral, APOQ,
Interior ∠POQ + ∠APO + ∠AQO + ∠PAQ = 360°
150° + 90° + 90° + x = 360°
x = 360° − 330°
x = 30°
∴ 2x = 2 × 30° = 60°
shaalaa.com
Is there an error in this question or solution?
