WBCS.LIVE practice question

In ∠A= 54°. If I ABC, Δ is the incentre of the triangle, then the measure of ∠BIC is;

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 148°
  2. 68°
  3. 117°
  4. 54°

Correct answer and explanation

Correct answer: 117°

Explanation: ✅ Correct Answer: C) 117° 📚 Explanation: In a triangle, the angle at the interior incentre $I$ is calculated using the geometric formula: $\angle BIC = 90^{\circ} + \frac{1}{2}\angle A$. The measure of $\angle A$ is given as $54^{\circ}$. Substituting this value into the structural formula gives: $\angle BIC = 90^{\circ} + 27^{\circ} = 117^{\circ}$. This is a standard property of triangle angle bisectors.