Mathematics

Problem

In the given figure,

AB \parallel DF

and

AD \parallel FG

. Find the value of

x - y

. ![A geometric figure showing two triangles, ABC and FDE, connected by a horizontal line segment B-C-E-G. Triangle ABC has angle A = 75 degrees. Angle D is marked. Angle x is at vertex E, and angle y is at vertex G. An external angle at G is 145 degrees. Lines AB and DF are parallel, and lines AD and FG are parallel.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/d31d8b0a058647079ff5635453ff3659/2583a26b85126a2fd60062a7e7ec4ed0_img.jpg) A.

70^\circ

45^\circ

35^\circ

65^\circ

Browse the problem library