Question : In a $\triangle $ABC, the bisector of $\angle $B and $\angle $C meet at O in the triangle. If $\angle $BOC = 134º, then the measure of $\angle $A is:
Option 1: 116º
Option 2: 104º
Option 3: 52º
Option 4: 88º
Answer (1)
24th Jan, 2024
Correct Answer: 88º
Solution :
As BO and CO are the angle bisectors of $\angle $B and $\angle $C respectively.
⇒ $\triangle $BOC = 90º + $\frac{1}{2}\angle $A
⇒ 134º = 90º + $\frac{1}{2}\angle $A
⇒ $\angle $A = 2 × 44º = 88º
Hence, the correct answer is 88º.
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