It tan A = 2/5 and tan B =3/7,then prove that A+B = π/4
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tan (A+B)
= tan A + tan B / 1 - tanAtanB
putting values
= 2/5+3/7 / 1-2/5*3/7
= 29/35 / 29/35
= 1
= tan 45 or tan π/4
Thus, A+B = π/4
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