Question

In figure from a point A which is in the exterior of the circle. The points of contact of the tangents are P and Q as shown in the figure. A line I touches the circle at R and intersects AP and AQ in B and C respectively. If AB c, BC = a, CA = b, then prove that two tangents are drawn to a circle (1) AP + AQ = a + b +c (2) AB + BR = AC + CR AP AQ = 4t0*C​

Answer 1

Answer:

140degree

Step-by-step explanation:

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∘

Hope This will helps you

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