Question

If angle between two radii of a Circle is 100° then the angle between tangents at the ends of the radii is ____________​

Answer 1

Answer:

80°

Step-by-step explanation:

From the figure, it is evident that ∠AOB=100 ∘

. Now, ∠OAP=90 ∘

and ∠OBP=90 ∘

(radii is perpendicular to tangent at point of contact)

Also, sum of interior angles of a quadrilateral is 360 ∘

and hence,

∠APB=360 ∘

−∠OAP−∠OBP−∠AOB=80∘

This is the required angle between the tangents