if the angle between two tangents of a circle is 75 degrees then find angle between radii of circle
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Answer:
105°
Step-by-step explanation:
Solve it by angle sum property of quadrilateral.
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Given:
ABC = 75°
To find: AOC
Here,
OAB = OCB = 90° (The line drawn from the centre of the circle to the tangent of the circle forms 90°)
Thus,
OAB + ABC + BCO + AOC = 360° (Angles inside a quadrilateral form 360°)
90° + 75° + 90° + AOC = 360°
AOC = 360° - 255°
AOC = 105°
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