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A circle has centre O. A tangent at P makes an angle of 30 degrees with chord PQ. Then angle POQ equals
A30 degrees
B60 degrees
C90 degrees
D120 degrees
Answer & Solution
Correct answer: B. 60 degrees
1. Tangent-chord angle equals the inscribed angle in the alternate segment.
2. Inscribed angle subtending PQ is 30 degrees.
3. Central angle POQ = 2 × inscribed = 60 degrees.
_Source: NCERT Class 10 Mathematics, Ch 10 "Circles", §10.3_
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