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```import math

def get_inputs():
n = int(input("Enter the number of sides (3-7): "))
angles = []
distances = []
for i in range(n):
angle = float(input(f"Enter the interior angle at vertex {i+1} (degrees): "))
distance = float(input(f"Enter the distance for side {i+1}: "))
angles.append(angle)
distances.append(distance)
return n, angles, distances

def calculate_area(n, angles, distances):
vertices = [(0, 0), (distances[0], 0)]  # Start with the first two vertices
angle_from_horizontal = 0
for i in range(1, n-1):
angle_from_horizontal += 180 - angles[i-1]
x = vertices[-1][0] + distances[i] * math.cos(radians)
y = vertices[-1][1] + distances[i] * math.sin(radians)
vertices.append((x, y))
# Use shoelace formula to calculate area
area = 0
for i in range(-1, n-1):
area += vertices[i][0] * vertices[i+1][1]
area -= vertices[i+1][0] * vertices[i][1]
area = abs(area) / 2
return area

def main():
n, angles, distances = get_inputs()
area = calculate_area(n, angles, distances)
print(f"The area of the polygon is: {area:.2f} square units")

if __name__ == "__main__":
main()
```