2007 AMC 12B Problem 11

The angles of quadrilateral ABCD satisfy \angle A=2\angle B=3\angle C=4\angle D. What is the degree measure of \angle A, rounded to the nearest whole number?

\mathrm {(A)} 125\qquad \mathrm {(B)} 144\qquad \mathrm {(C)} 153\qquad \mathrm {(D)} 173\qquad \mathrm {(E)} 180

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.