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If $\tan A - \tan B = 2 \tan (A - B)$ then $A, B$ can be

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50°,40°

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detailed solution

Correct option is C

We have tan(A-B)=tanA-tanB1+tanAtanB⇒tan(A-B)=tanA-tanB1+1 If A+B=90°⇒2tan(A-B)=tanA-tanB∴In the given options A=50°B=40°

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If tanA−tanB=2tanA−B then A,B can be

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If $\tan A - \tan B = 2 \tan (A - B)$ then $A, B$ can be