讲解一下这个题目---**Question Text:**
如图所示,已知BD=4, CD=2, ∠ADB=60°, ∠C=45°, 求∠B
**Translation:**
As shown in the figure, it is known that BD=4, CD=2, ∠ADB=60°, ∠C=45°, find ∠B
**Mathematical Information from Text:**
* Given: BD = 4
* Given: CD = 2
* Given: ∠ADB = 60°
* Given: ∠C = 45°
* Find: ∠B
**Geometric Diagram Description:**
* **Type:** Geometric figure, specifically a triangle ABC with a point D on side BC.
* **Main Elements:**
* Points: Labeled vertices A, B, C and point D on BC.
* Lines: Segments AB, AC, BC, and AD. BC is composed of segments BD and DC.
* Angles:
* Angle at D inside triangle ABD is ∠ADB, labeled as 60°.
* Angle at C in triangle ADC (and ABC) is ∠C, labeled as 45°.
* Lengths:
* Length of segment BD is labeled as 4.
* Length of segment CD is labeled as 2.
* **Relative Position:** Point D lies on the line segment BC, between B and C. Point A is positioned such that it forms triangles ABD and ADC.
* **Labels and Annotations:** Points A, B, C, D are labeled. The values 60° are marked near angle ADB, and 45° near angle C. The lengths 4 and 2 are indicated below segments BD and CD respectively.