Mathematics

Mathematics

Problem

In figure (not drawn to scale), if AB∥CDAB \parallel CD , CD∥EFCD \parallel EF and y:z=4:5y : z = 4 : 5 , then find the value of xx . ![A diagram showing three parallel lines AB, CD, and EF intersected by a transversal line. The intersection points are labeled G, H, and I respectively. Angle x is formed between the transversal and line AB. Angle y is formed between the transversal and line CD. Angle z is formed between the transversal and line EF.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/3774e71aefc144b3aa13b49a18fb5c85/935eed7aa61f7777f62cfc032e11bee9_img.jpg) A diagram showing three parallel lines AB, CD, and EF intersected by a transversal line. The intersection points are labeled G, H, and I respectively. Angle x is formed between the transversal and line AB. Angle y is formed between the transversal and line CD. Angle z is formed between the transversal and line EF. (A) 100∘100^\circ (B) 76∘76^\circ (C) 82∘82^\circ (D) 122∘122^\circ

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