Question

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

• A. ${105}^{\circ }$
• B. ${70}^{\circ }$
• C. ${145}^{\circ }$
• D. ${150}^{\circ }$

Answer 1

Answer: (C)

${145}^{\circ }$

Clearly from the figure, by joining radii to both the point of contact, we get quadrilateral & the sum of opposite anlges of a quadrilateral is $180°$.

Since, $\theta ={35}^{\circ }$

$\therefore$ Angle between radii $={180}^{\circ }-{35}^{\circ }={145}^{\circ }$