The angle between the external bisectors of two angles of a triangle is 60°. Then the third angle of the triangle is
A. 40°
B. 50°
C. 60°
D. 80°
Answer: Option C
Solution (By Examveda Team)
According to question,
Given : ∠BOC = 60°
As we know that
∴ ∠O = 90 - $$\frac{1}{2}$$ ∠A
⇒ $$\frac{1}{2}$$ ∠A = 90° - 60°
⇒ $$\frac{1}{2}$$ ∠A = 30°
⇒ ∠A = 60°



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