In △ABC, ∠A = 54°. If I is the incentre of the triangle, then the measure of ∠BIC is.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 117°.
Given:
ΔABC, ∠Α = 54°
Formula used:
⇒ ∠BIC = 90 + ∠A/2
Now:
⇒ ∠BIC = 90° + ∠A/2
⇒ ∠BIC = 90° + 54°/2
Thus,
∠BIC = 117°