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Question

To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end points of those two radii of the circle, the angle between which is


A

55°

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B

105°

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C

145°

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D

140°

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Solution

The correct option is C

145°


The angle between a pair of tangents to a circle which are inclined to each other at an angle is supplementary to the angle between the two radii of the circle.

Thus, the angle between the radii of the circle

= 180°-35°=145°


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