Correct Answer - Option 2 : 67.5°
Given:
The one of the angle of triangle is 45°
Formula Used:
In triangle ABC if OB and OC are the exterior angle bisector
∴ ∠BOC = 90 - ∠A/2
Calculation:
Let ABC is a triangle and let ∠A = 45° and OB and OC are the exterior angle bisector of triangle ABC
∴ ∠BOC = 90 - 45/2 = 67.5°