What type of valley installation is recognized for its faster application and professional appearance?

The correct answer is the closed cut valley, which is known for its faster application and professional appearance. In this installation method, the shingles on both sides of the valley are cut and laid alongside each other, creating a neat and symmetrical look. This technique allows for quicker installation because it requires less cutting and fewer materials than other methods. Moreover, the closed cut valley provides a clean finish since the roofers cut the shingles at a straight edge, making it aesthetically appealing and suitable for many architectural styles.

Additionally, the closed cut valley helps to effectively channel water down the roof's slope, reducing the risk of leaks at the junction where two roof slopes meet. Since the shingles overlap the valley, it offers better protection against potential water intrusion compared to other methods that may require more intricate layering or materials.

In contrast to the closed cut valley, other types such as the open valley involve using metal flashing, which can take more time to install and may not provide the same streamlined look as the closed cut. Woven valleys incorporate a more complex layering of shingles, and overlap valleys may require additional materials or methods that can complicate the installation process. Thus, the closed cut valley stands out for its efficiency and visually appealing results.