question_answer

Find the smallest positive value of x. \[\tan (x+100{}^\circ )=\tan (x+50{}^\circ )\]\[\tan (x)\tan (x-50{}^\circ )\]

A)  \[15{}^\circ \]                         

B)  \[30{}^\circ \]

C)  \[45{}^\circ \]                         

D)  \[60{}^\circ \]

E)  None of these