If $\sec 4A= cosec (A-20^{\circ})$ where $4A$ is an angle, then th value of A is ________

Question

$\begin{array}{1 1}(A) \; 20^{\circ} \\(B)\; 22^{\circ} \\(C)\;15^{\circ} \\(D)\;17^{\circ} \end{array}$