If the angle between two radii of a circle be 130o, then the angle between the tangents at the end of these radii (in degrees) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e 50o
| Understanding/Application |
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Angle between two radii OA and OB = 130 PA and PB are the two tangents at A and B to the circle. ∠OAP = ∠OBP = 90 |
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In quad. OAPB - ∠OAP + ∠OBP + ∠AOB + ∠APB = 360 130 + 90 + 90 + ∠APB = 360 310 + ∠APB = 360 ∠APB = 50 |