Final answer:
The measure of the angle of the roof of the model is (option a).14 degrees.
Step-by-step explanation:
To find the measure of the angle of the roof of the scale model, we need to apply the scale ratio of 1:4 to the angle of the actual roof. Since the actual roof angle is 56 degrees, we can find the angle of the model's roof by dividing 56 by 4, which gives us 14 degrees. Therefore, the measure of the angle of the roof of the model is 14 degrees (option a).