As shown in figure 1, line AB and CD intersect at point O, connecting AD and CB. We call the figure with the shape of 1 the "8" shape. As shown in Figure 2, under the condition of Figure 1, the bisectors AP and CP of ∠DAB and ∠BCD intersect at point P and CD and CB.

(1) In the figure 1, please directly write the quantitative relationship between ∠A, ∠B, ∠C and ∠D:?

(2) Look carefully, the number "8" in Figure 2:? Answer?

(3) In Figure 2, if ∠ d = 40 b = 36, try to find ∠P times;

(4) If ∠D and ∠B are arbitrary angles in Figure 2, and other conditions remain unchanged, what is the quantitative relationship between ∠P and ∠D and ∠B? (Just write a conclusion directly)

Solution: (1) Conclusion: ∠ A+∠ D = ∠ C+∠ B;

(2) Conclusion: 6;

(3) by ∠ d+∠1+∠ 2 = ∠ b+∠ 3+∠ 4 ① (∠ aod = ∠ cob),

By ∠ 1=∠2, ∠3=∠4,

∴40 +2∠ 1=36 +2∠3

∴∠3-∠ 1=2 ( 1)

By ∠ONC=∠B+∠4=∠P+∠2，②

∴∠p=∠b+∠4-∠2=36+2 = 38；

(4) From ①∠D+2∠ 1=∠B+2∠3,

From ②2∠B+2∠3=2∠P+2∠ 1

①+②De:∠D+2∠B+2∠ 1+2∠3 =∠B+2∠3+2∠P+2∠ 1。

∠D+2∠B=2∠P+∠B。

∴∠P= half (≈d+≈b)