Question

If two tangents are drawn at the end points of two radii that are inclined at an angle of ${110}^{\circ }$. Find the angle between the tangents.

• A. ${110}^{\circ }$
• B. ${55}^{\circ }$
• C. ${70}^{\circ }$
• D. ${20}^{\circ }$

Answer 1

Answer: (C)

${70}^{\circ }$

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, ${180}^{\circ }-\theta ={110}^{\circ }$

$\therefore \theta =180-110={70}^{\circ }$