Mathematics

Mathematics

Problem

In the given figure (not drawn to scale), find the value of ∠DOC\angle DOC. ![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/86df3cc591dc4ac9ba10f8d0ca6fadd8/c397c8d13a885b05543b490ca9317118_img.jpg) Figure showing six rays originating from point O: OA, OB, OC, OD, OE, OF. The rays are arranged such that OA and OB are in the upper half-plane, and OE and OD are in the lower half-plane. The horizontal ray OC is to the right, and OF is to the left. The angles around point O are labeled with expressions in terms of xx. The angle between OA and OB is 4x4x. The angle between OB and OC is 2x2x. The angle between OC and OF is 3x3x. The angle between OF and OE is 3x3x. The angle between OE and OD is 4x4x. The angle between OD and OB is 2x2x. ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/86df3cc591dc4ac9ba10f8d0ca6fadd8/c397c8d13a885b05543b490ca9317118_img.jpg)) (A) 50∘50^\circ (C) 30∘30^\circ (B) 60∘60^\circ (D) 75∘75^\circ

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