to construct a pair of tangents of a circle at an angle of 45° to each other ,what angle is needed to be drawn between radii of circle.
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the angle at centre of the circle is 145°
Step-by-step explanation:
a tangent to a circle is perpendicular to the corresponding line joining it and passing through the centre.
we know that the sum of angles in a quadrilateral is 360.
in the given question the angle the pair of tangents make is 45° and the angle at the tangency is 90°
let the angle at the centre be x
then x+90+90+45=360
x=145°
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