question_answer

On producing a side of a triangle, the exterior angle so formed is \[128{}^\circ \]. If the interior opposite angles are in the ratio \[\mathbf{1}:\mathbf{3},\]then find the measure of the difference of greatest angle and the least angle of the triangle.

A) \[35{}^\circ \]

B)  \[58{}^\circ \]

C)  \[23{}^\circ \] 

D)  \[28{}^\circ \]

E)  None of these