Mathematics

Problem

In the given figure (not drawn to scale),

AB \parallel CD

and

AB \parallel EF

. If

EA \perp BA

and

\angle BEF = 55^\circ

, then the values of

x

y

and

z

respectively are \_\_\_\_\_\_. ![Diagram showing three parallel horizontal lines intersected by two transversals. The lines are labeled A, C, and E (top to bottom). The left transversal intersects the lines at A, B, and D. The right transversal intersects the lines at E and F. At point A, a right angle symbol indicates EA is perpendicular to BA. Angle z is shown at E, between the right transversal and the line segment ED. Angle x is shown at D, between the left transversal and the line segment ED. Angle y is shown at B, between the left transversal and the line segment ED.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/4c42c05e044c4d3d99e1b3683bc0a70a/935eed7aa61f7777f62cfc032e11bee9_img.jpg) (A)

130^\circ, 50^\circ, 40^\circ

(B)

125^\circ, 125^\circ, 35^\circ

(C)

125^\circ, 35^\circ, 35^\circ

(D)

35^\circ, 150^\circ, 35^\circ

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