Question
Download Solution PDFTwo circles touch each other externally at P. AB is a direct common tangent to the two circles. If A and B are points of contact and ∠PAB = 65°, then ∠ABP is _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used :
The angle at the point of contact of a tangent to a circle is a right angle.
Calculation :
According to question,
⇒ ∠PAB = 65°
Now In ΔAPB,
⇒ ∠A + ∠B + ∠P = 180°
⇒ 65° + ∠B + 90° = 180°
⇒ ∠B = 180° - 155° = 25°
∴ The correct answer is 25°.
Last updated on Jun 13, 2025
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