Question

The angle between two tangents drawn from an external point to a circle is 110", The angle subtended at the centre by the segment joining the points of contact to the centre of circle is: 16 17 18 (A) 70 (B) 110 (C) 90 (D) 55

Answer 1

Answer:

(A) 70

Step-by-step explanation:

Let P be any external point

and PA and PB be the tangents to the circle with centre O intersecting it at points A and B respectively

Since a tangent to a circle is perpendicular to the radius through the point of contact,

angleA = angle B = 90

by angle sum property of quadrilateral

angle P + angle A + angle B + angle O = 360

angle O = 70

Answer 2

answer is attached above.. thank you