Question

Please take only LCM
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Answer 1

Step-by-step explanation:

Given tan(A+B)=3⟹A+B=60∘⋯(1)

tan(A−B)=31⟹A−B=30∘⋯(2)

(1)+(2)⟹2A=90∘⟹A=45∘

Put A value in (1)

⟹B=60∘−45∘=15∘