Geometry_Prompt = '''
Q: Given the images, in △ABC, it is known that ∠A=80°, ∠B=60°, DE∥BC. Then, the measure of ∠CED is ()

# solution in Python:

def solution():
"""Given the images, in △ABC, it is known that ∠A=80°, ∠B=60°, DE∥BC. Then, the measure of ∠CED is ()"""
    angle_A = 80
    angle_B = 60
    angle_C = 180 - angle_A - angle_B
    angle_CED = 180 - angle_C
    result = angle_CED
    return  result




Q: In the images, where AB is parallel to CD, the line EF intersects AB at point E and intersects CD at point F. Line EG bisects angle BEF, intersecting CD at point G. Given that angle 1 is 50°, the measure of angle 2 is ()


# solution in Python:

def solution():
    """In the images, where AB is parallel to CD, the line EF intersects AB at point E and intersects CD at point F. Line EG bisects angle BEF, intersecting CD at point G. Given that angle 1 is 50°, the measure of angle 2 is ()"""
    angle_1 = 50
    angle_BEF  = 180 - angle_1
    angle_BEG = angle_BEF / 2
    angle_2 = angle_BEG
    result = angle_2
    return result


Q: The perimeter of parallelogram ABCD is 28 cm, AC intersects BD at point O, and the perimeter of triangle AOB is 4 cm greater than the perimeter of triangle OBC. Then, AB equals ()


# solution in Python:

from sympy import symbols, Eq, solve

def solution():
    """The perimeter of parallelogram ABCD is 28 cm, AC intersects BD at point O, and the perimeter of triangle AOB is 4 cm greater than the perimeter of triangle OBC. Then, AB equals () """
    m, n = symbols('m n')
    # m+n+m+n=28
    eq1 = Eq(m + n + m + n, 28)
    # m-n=4
    eq2 = Eq(m - n, 4)

    solution = solve((eq1, eq2), (m, n))
    result = solution[m]
    return result




Q: "Given the images, with circle O, chord AB = 18, M is the midpoint of AB, and OM = 12, then the radius of circle O is ()"


# solution in Python:

import math
def solution():
    """Given the images, with circle O, chord AB = 18, M is the midpoint of AB, and OM = 12, then the radius of circle O is ()"""
    Line_AB = 18
    Line_OM = 12
    Line_BM = Line_AB / 2
    Line_OB = math.sqrt(Line_OM * Line_OM + Line_BM * Line_BM)
    result = Line_OB
    return result




Q: In the figure, given △ABC and △DEF, where AB = 2DE, AC = 2DF, and ∠A = ∠D, if the area of △ABC is 24, then the area of △DEF is ().

# solution in Python:

def solution():
    """In the figure, given △ABC and △DEF, where AB = 2DE, AC = 2DF, and ∠A = ∠D, if the area of △ABC is 24, then the area of △DEF is ()"""
    areaOfTriangle_ABC = 24
    areaOfTriangle_DEF = areaOfTriangle_ABC / 4
    result = areaOfTriangle_DEF
    return result



Q:  Find m \\angle Z in the trapezoid.


# solution in Python:

def solution():
    """Find m \\angle Z in the trapezoid."""
    angle_W=112
    angle_Z=180-angle_W
    result = angle_Z
    return result    



Q:  Find the area of the parallelogram. Round to the nearest tenth if necessary.


# solution in Python:

import math
def solution():
    angle_degrees = 30 
    opposite_side = 19  
    base = 44 
    angle_radians = math.radians(angle_degrees)
    height = opposite_side / math.tan(angle_radians)
    area_parallelogram = base * height
    result=area_parallelogram
    return round(result, 1)







Q: {question}


# solution in Python:


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