Angle between the internal bisectors of two angles ∠B and ∠C of a △ABC is 132°, then the value of ∠A is :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 84°
Given :
Angle between the internal bisectors of two angles ∠B and ∠C of a △ABC is 132°
Formula used :
Angle between the internal bisector of ∠B and ∠C = 90 + (1/2)∠A ---- (1)
Calculations :
Using equation (1), we get
⇒ 132 = 90 + (1/2)∠A
⇒ 42 = (1/2)∠A
⇒ 84 = ∠A