\( A B C D E \) is a regular pentagon and bisector of \( \angle B A E \) meets \( C D \) at \( M...

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\( A B C D E \) is a regular pentagon and bisector of \( \angle B A E \) meets \( C D \) at \( M \). If bisector of \( \angle B C D \) meets \( A M \) at \( P \), then \( \angle C P M \) is equal to
(a) \( 72^{\circ} \)
(b) \( 36^{\circ} \)
(c) \( 108^{\circ} \)
(d) \( 48^{\circ} \)
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