If the angle between two radii …
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If the angle between two radii of a circle is 130° , then find the angle between the tangents at the ends of radii?
Posted by Çútê Lõõk Kìllêr 7 years ago
- 2 answers
Naveen Sharma 7 years ago
Ans.
O is the centre of the circle.
Given, <POQ = 130º
PT and QT are tangents drawn from external point T to the circle
<OPT = <OQT = 90º [ Radius is perpendicular to the tangent at point of contact]
In quadrilateral OPTQ,
<PTQ + <OPT + <OQT + <POQ = 360º
=> <PTQ + 90º + 90º + 130º = 360º
=> <PTQ = 360º – 310º = 50º
Thus, the angle between the tangents is 50º.
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Pritish Pandey 7 years ago
In the above given figure
Angle T +. Angle. O=180 (ptqo cyclic quad.)
AngleT=180-130
Angle T=50
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