Question
In a triangle ABC, M is the mid-point of BC. If ∠AMB = 45∘, and ∠ACM = 30∘, then ∠BAM is (∠B is not obtuse)
Answer: Option D
:
D
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D
Consider any triangle ABC, AM is a line connecting A to mid point of BC. Drop a perpendicular from A to BC touching BC at D. The angle ADM is a right angled triangle with 45 – 45 – 90 angles. Hence DAM = 45 and BAM > 45. BAM= 45∘ If ∠ABC =90∘. hence, answer is option (d)
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