In ∆ABC, the internal bisectors of ∠ABC and ∠ACB meet at X and ∠BAC = 30°. The measure of ∠BXC is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 105°.
In ∆ABC, the internal bisectors of ∠ABC and ∠ACB meet at X
∠BAC = 30°
So, ∠BXC = 90° + ∠BAC/2
∠BXC = 90° + 30°/2
⇒ ∠BXC = 90° + 15°
⇒ ∠BXC = 105°