Q. 124.5( 4 Votes )

In a triangle ABC, B = 60° and C = 80°. Suppose the bisector of B and C meet at I. Find BIC.

Answer :


It is given that in a triangle ABC, B = 60°, and C = 80°. IB and IC are the bisectors of B and C respectively.


⇒ ∠IBC = 30° and ICB = 40°


We know that the sum of the angles of a triangle is 180°.


So, in ∆ IBC


⇒ ∠BIC + IBC + ICB = 180°


⇒ ∠BIC = 180° - 40° - 30°


⇒ ∠BIC = 110°


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