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The angle between two radii OA and OB of a circle is 130°. Then theangle between the two tangents drawn at the points A and B is |
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Answer» Step-by-step explanation: PA and PB are tangents drawn from an external point P to the circle. ∠OAP=∠OBP=90 ∘ (Radius is PERPENDICULAR to the tangent at point of contact) In QUADRILATERAL OAPB, ∠APB+∠OAB+∠AOB+∠OBP=360 ∘
35 ∘ +90 ∘ +∠AOB+90 ∘ =360 ∘
215 ∘ +∠AOB = 360 ∘
∠AOB=360 ∘ –280 ∘ =145 ∘
Thus, the angle between the two RADII, OA and OB is 145 ∘ . |
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