GRE Question of the Day (April 15th)

In a certain type of tiling called Penrose P3 tiling, two types of rhombi fill a space without gaps or overlaps: wide rhombi and narrow rhombi. If five of the wide rhombi can meet symmetrically at a single point, while ten of the narrow rhombi can, what is the ratio of the largest angle in one narrow rhombus to the largest angle in one wide rhombus?

(A) 5 : 2

(B) 2 : 1

(C) 5 : 3

(D) 3 : 2

(E) 4 : 3