Which tool is used for setting and transferring angles and typically has a handle made of wood or plastic?

The sliding T-bevel is specifically designed to set and transfer angles, making it an essential tool for tasks that require precise angle measurement and replication. Its unique design includes a movable blade attached to a fixed handle, allowing users to easily adjust the angle to match a specific measurement. This capability makes it highly useful in various applications, such as woodworking or metalworking, where accurate angles are critical to achieving the desired fit and finish.

The material of the handle, often made of wood or plastic, provides a comfortable grip and ensures ease of use during repetitive tasks. The sliding feature of the blade allows for quick adjustments, enhancing efficiency when working on projects that involve multiple angles.

In contrast, other tools like the square are primarily used for establishing right angles and checking straight lines rather than transferring or setting angles. A level is meant for ensuring horizontal or vertical alignment rather than angle transfer. The penny system is not a standard tool in this context and doesn't fit the description of angle-setting. Thus, the sliding T-bevel stands out as the correct choice for this specific function.