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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​

Answer» <html><body><p><strong>Step-by-step explanation:</strong></p><p>PA and PB are tangents drawn from an external point P to the circle.</p><p></p><p>∠OAP=∠OBP=90 </p><p>∘</p><p> (Radius is <a href="https://interviewquestions.tuteehub.com/tag/perpendicular-598789" style="font-weight:bold;" target="_blank" title="Click to know more about PERPENDICULAR">PERPENDICULAR</a> to the tangent at point of contact)</p><p></p><p>In <a href="https://interviewquestions.tuteehub.com/tag/quadrilateral-610984" style="font-weight:bold;" target="_blank" title="Click to know more about QUADRILATERAL">QUADRILATERAL</a> OAPB,</p><p></p><p>∠APB+∠OAB+∠AOB+∠OBP=360 </p><p>∘</p><p> </p><p></p><p>35 </p><p>∘</p><p> +90 </p><p>∘</p><p> +∠AOB+90 </p><p>∘</p><p> =360 </p><p>∘</p><p> </p><p></p><p>215 </p><p>∘</p><p> +∠AOB = 360 </p><p>∘</p><p> </p><p></p><p>∠AOB=360 </p><p>∘</p><p> –280 </p><p>∘</p><p> =<a href="https://interviewquestions.tuteehub.com/tag/145-273741" style="font-weight:bold;" target="_blank" title="Click to know more about 145">145</a> </p><p>∘</p><p> </p><p></p><p>Thus, the angle between the two <a href="https://interviewquestions.tuteehub.com/tag/radii-1175952" style="font-weight:bold;" target="_blank" title="Click to know more about RADII">RADII</a>, OA and OB is 145 </p><p>∘</p><p> .</p></body></html>


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