In a ΔABC, the bisector of&nb

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a ΔABC, the bisector of ∠B and ∠C meet at point O, inside the triangle. If ∠BOC = 106°, then the measure of ∠A is?

Options:

53°

32°

37°

73°

Correct Answer:

32°

Explanation:

⇒ ∠BOC = 90° + $\frac{1}{2}$ ∠A

⇒ 106° = 90° + $\frac{1}{2}$ ∠A

⇒ ∠A = 32°