TCS Company Numerical Ability Geometry

From a point X that is external to a circle, tangents are drawn to the circle. What is the angle between the radius of the circle that is drawn from the point of contact to the centre O and the straight line that joins X to O? Given that the angle between tangents is 80 degree at X.
1)50 degrees 2)25 degrees 3)45 degrees 4) Such an angle is not possible

Read Solution (Total 1)

1) 50 degrees
given, angle between 2 tangents is 80 degrees &
angle between radius and any tangent is 90 degrees
we get a quadrilateral and sum of all the angles of quadrilateral is 360 degrees
so, the angle made at center is
360- (90+90+80)=100
so the line joining point x and center makes an angle 100/2=50 degrees
4 years agoHelpfull: Yes(1) No(0)

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