**Question Information:**
* Question Number: 6
* Point Value: 3分 (3 points)
**Question Stem:**
如图, 已知 $a \parallel b$, 小张把三角板的直角顶点放在直线 $a$ 上. 若 $\angle 1 = 32^\circ$, 则 $\angle 2$ 的度数为 (▲)
**Mathematical Formulas/Equations:**
* $a \parallel b$
* $\angle 1 = 32^\circ$
* Find $\angle 2$
**Options:**
A. $64^\circ$
B. $60^\circ$
C. $58^\circ$
D. $32^\circ$
**Chart/Diagram Description:**
* **Type:** Geometric figure illustrating lines and angles.
* **Main Elements:**
* Two horizontal parallel lines labeled 'a' and 'b', with line 'a' positioned above line 'b'.
* A triangle ABC, where vertex D is the right-angle vertex placed on line 'a'. The vertices of the triangle are labeled A, B, and D. Point D is on line 'a'. Point B is on line 'b'. Point A is above both lines.
* A line segment BD connects vertex B on line 'b' to vertex D on line 'a'.
* A line segment AD connects vertex A to vertex D on line 'a'.
* A line segment AB connects vertex A to vertex B.
* An angle labeled ∠1 is formed at vertex B, between line 'b' and segment BD.
* An angle labeled ∠2 is formed at vertex D, inside the triangle, between line 'a' and segment AD.
* Vertex D is indicated as the right-angle vertex of the triangle. This means the angle at D within the triangle formed by the sides AD and BD is a right angle (90°). So, $\angle ADB = 90^\circ$.
* Point C is marked on line 'a' to the left of D. It is also a vertex of the triangle (possibly the original triangle is ABC and the right angle is at D? The stem says "小张把三角板的直角顶点放在直线 a 上", implying D is the right angle vertex of the triangle placed on line a). Given the labels and angles, it's likely the triangle is ADB, with the right angle at D.
* A small circle symbol is present near point C and the segments AC and CD, which seems like a decorative element or placeholder.
* **Relative Position and Direction:** Line 'a' is parallel to line 'b'. Point D is on line 'a'. Point B is on line 'b'. Point A is above both lines. ∠1 is at B on line 'b'. ∠2 is at D on line 'a'. The right angle of the triangle is at D.