The sides AB and AC of ΔABC are produced up to points D and E. The bisectors of the exterior angles so formed, intersect each other at point I. If ∠ACB is 66° and ∠ABC = 44°, then what is the measure (in degrees) of ∠BIC ?
Answer & explanation
Correct answer: option 4
We know that,
The sum of the angles of the triangle = 180o
∠A = 180° - (44° + 66°)
= ∠A = 70°
∠BIC = 90 - ∠A/2 (Exterior angle bisector)
∠BIC = 90 - 70/2
= 90 - 35 = 55°