已知:∠1=∠2,∠C=∠D,求证:∠A=∠F.---**Chart/Diagram Description:** * **Type:** Geometric diagram. * **Main Elements:** * **Points:** Labeled points A, B, C, D, E, F. * **Lines:** * A line segment or ray labeled AC passes through A, B, and C. * A line segment or ray labeled DF passes through D, E, and F. * A line segment labeled AF connects A and F. * A line segment labeled DE connects D and E, and extends to cross AF. * A line segment or ray connects E and C. * A line segment or ray connects D and B. * **Intersection Points:** Lines AF and DE intersect. Let's call this intersection point G. * **Angles:** * Angle 1 (∠1) is located at the intersection point G, formed by lines AF and DE, between line DB and line AB. It is adjacent to angle 4. * Angle 2 (∠2) is located near point E, formed by line DE and line AF. It is between line EC and line EF. * Angle 3 (∠3) is located at the intersection point G, formed by lines AF and DE. It is vertically opposite to the angle formed below G between lines AF and DE. It is also adjacent to angle 1 and angle 2. * Angle 4 (∠4) is located near point B, formed by line DE and line AC. It is between line DB and line BC. It is adjacent to angle 1. * **Relative Position and Direction:** Line DF appears parallel to line AC. Line AF is a transversal intersecting DF and AC. Line DE is another line intersecting DF, AF, and AC. Points B and C are on the right side of A on the bottom line. Points E and F are on the right side of D on the top line. B is to the left of C, and E is to the left of F. **Textual Information:** * There is no explicit question stem, options, or other related text (like explanations, hints, or data sources) present in the image. The image contains only the geometric diagram with labeled points and numbered angles.

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