If one of the angles of a triangle is 74°, then the angle between the bisector of the other two interior angles is :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 127°
Given :
One angle of a triangle = 74
Formula used :
If I is the incenter of the triangle ABC then,
∠BIC = 90 + (1/2)(A) ----- (1)
Calculations :
According to the figure, using equation (1)
⇒ ∠BIC = 90 + (1/2)(74)
⇒ ∠BIC = 90 + 37
⇒ ∠BIC = 127°