Mathematics

Mathematics

Problem

In the given figure (not drawn to scale), AB∥DCAB \parallel DC . Then the value of xx is _______. ![A geometric figure showing a triangle AEC. Angle A is 50 degrees. Angle E is x degrees. A line segment AB extends from A to the right. A line segment CD extends from C to the right. AB is parallel to CD. The angle formed by the extension of AC and the line CD is 100 degrees.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/48c26598d79047e88891afcb251f3dbe/30a26f2d17ca95672702bf50fb4f0242_img.jpg) A geometric figure showing a triangle AEC. Angle A is 50 degrees. Angle E is x degrees. A line segment AB extends from A to the right. A line segment CD extends from C to the right. AB is parallel to CD. The angle formed by the extension of AC and the line CD is 100 degrees. (A) 25∘25^\circ (B) 30∘30^\circ (C) 45∘45^\circ (D) 50∘50^\circ

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