1.

Tan A = cot B . then ​

Answer»

TAN A = cot B ------------ ( eq. i) { GIVEN }

ALSO, tan A = cot ( 90 - A ) ------------ ( eq.ii )   { complimentary ANGLE }

From eq. i & ii -

 cot B = cot ( 90°- A )

⇒ B = 90° - A.

⇒ 90 ° = A + B.

⇒ A + B = 90 °. [ PROVED ] .


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