In triangle ABC, the bisectors of ∠B and ∠C meet at point O within the triangle. If ∠BOC = 148°, then the measure of ∠A is?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 116°
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Understanding |
Application |
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With the property of angle bisectors: ∠BOC = 90° + A/2 Given: ∠BOC = 148°
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∠BOC = 90° + A/2 ⇒ ∠A = 2 (∠BOC – 90°) ⇒ ∠A = 2 (148 – 90°) ⇒ ∠A = 2 × 58° ⇒ ∠A = 116° |
