Question

10.
In the figure given below, O is the centre of the circle. Line AB touches the
circle only at point B, and line DC touches the circle only at point C. If the
circle has a radius of 2 cm, then AC is


lets see who can answer this properly without spam and with correct explaination​

Answer 1

Answer:

Tangent is perpendicular to radius at point of contact.

So, ∠ABO=∠ACO=90∘

In a quadrilateral, the sum of the angles is 360∘. 

∠BAC+∠BOC+∠ABO+∠ACO=360∘

∴∠BAC+∠BOC=180∘

                      ∠BOC=180∘−40∘

                      ∠BOC=140∘