解題---**Question Stem:**
20. 圖 (十三) 為一張五邊形紙片 $ABCDE$, $F$ 點在 $\overline{CD}$ 上, 且以 $\overline{BE}$、$BF$、$FE$ 為摺線將紙片向內摺至同一平面後, $A$、$C$、$D$ 恰重疊在同一點 $P$, 如圖 (十四) 所示。若 $\overline{BE} > \overline{FE} > \overline{BF}$, 則根據圖 (十四) 中標示的角, 判斷下列敘述何者正確？
**Diagram Description:**
**Diagram (Thirteen):**
* Type: Geometric figure, a pentagon.
* Shape: A pentagon labeled ABCDE, possibly irregular.
* Points: A, B, C, D, E. F is marked on the segment CD.
* Lines: Solid lines forming the sides of the pentagon AB, BC, CD, DE, EA. Dashed lines are likely fold lines: BE, BF, FE.
* Annotations: Curved arrows indicate the folding direction: A folds towards the inside along BE and AE (implied by the result); C folds towards the inside along BC and BF; D folds towards the inside along DE and DF (implied by the result). The title "圖 (十三)" is below the figure.
**Diagram (Fourteen):**
* Type: Geometric figure, result of folding the pentagon.
* Shape: Points B and E are vertices of the resulting figure. Points C, F, D are also marked. Point P is the result of folding A, C, and D to the same location.
* Points: B, C, F, D, E, P. P is inside the pentagon formed by BCFDE.
* Lines: Solid lines form segments: BE, BP, EP, BC, CP, BF, FP, EF, DP (DP is not explicitly drawn, but implied as D folds to P), CD (original segment, now C, F, D are aligned with P, but C, F, D are separate points in the base), CE (original segment, now C folds to P, E remains), DE (original segment, now D folds to P, E remains). Dashed lines are likely parts of the original pentagon boundary or original fold lines that are no longer visible as edges in the folded state. Segments BP, CP, FP, EP are drawn as solid lines connecting the vertices to P. BE, BF, FE are also drawn as solid lines. BC, CF, FD, DE are drawn as dashed lines.
* Angles: Angles are labeled with numbers inside the figure:
* Angle 1 is formed by segments BP and BE, originating at B.
* Angle 2 is formed by segments BP and BC, originating at B.
* Angle 3 is formed by segments CP and CF, originating at C.
* Angle 4 is formed by segments FP and FD, originating at F. (Note: The diagram seems to indicate angles around points B, C, F, E, P, but the numbers are specifically placed in regions corresponding to angles around B, C, F, E). The labels are within the triangles formed by the folding. Angle 3 is specifically within triangle CPF. Angle 4 is within triangle DPF.
* Angle 5 is formed by segments EP and ED, originating at E. (Note: The diagram seems to indicate angle 5 is adjacent to angle 6 at E).
* Angle 6 is formed by segments EP and EB, originating at E.
* Annotations: An arrow points from Diagram (Thirteen) to Diagram (Fourteen). Point P is labeled. The title "圖 (十四)" is below the figure. The segments BE, BF, FE are the fold lines. Points A, C, D coincide at P after folding.
**Given Condition:**
$\overline{BE} > \overline{FE} > \overline{BF}$
**Question:**
Based on the angles marked in Diagram (Fourteen), determine which of the following statements is correct?
**Options:**
(A) $\angle 3 + \angle 4 = 90^{\circ}$, $\angle 1 + \angle 2 > \angle 5 + \angle 6$
(B) $\angle 3 + \angle 4 = 90^{\circ}$, $\angle 1 + \angle 2 < \angle 5 + \angle 6$
(C) $\angle 3 + \angle 4 \neq 90^{\circ}$, $\angle 1 + \angle 2 > \angle 5 + \angle 6$
(D) $\angle 3 + \angle 4 \neq 90^{\circ}$, $\angle 1 + \angle 2 < \angle 5 + \angle 6$