Preheat oven to 400°F (200°C).

In a bowl, combine shredded Muenster cheese, shredded Cheddar cheese, chopped fresh parsley, lightly beaten egg, and ground red pepper.

Thaw frozen phyllo pastry and unfold. Keep covered with a damp towel to prevent drying.

Place one sheet of phyllo on a flat surface and brush with melted butter.

Repeat layering with two more sheets of phyllo, brushing each with melted butter.

Cut the layered phyllo lengthwise into 1 1/2-inch strips.

Place a small amount of cheese mixture at the base of each strip.

Fold the bottom right corner over to form a triangle. Continue folding back and forth, pressing corners gently.

Repeat the layering, filling, and folding procedure with the remaining phyllo sheets, melted butter, and cheese mixture.

Brush all the triangles with the remaining melted butter.

Bake at 400°F (200°C) for 15 to 20 minutes, or until lightly golden brown.