Quiz (1 point)
Given that:
    
    
m∠XZE = 180
    
    M is the midpoint of line XZ
    
    M is the midpoint of line YG
    
    m∠YZF = 180
    
    m∠FZG > 0
    
    Prove that:
The following properties may be helpful:
    - if M is the midpoint of line AB, then distance AM = distance MB
 - if distance AB = distance CD, then distance DC = distance AB
 - if M is the midpoint of line AB, then distance AM = distance MB
 - if distance AB = distance CD, then distance CD = distance BA
 - if M is the midpoint of line AB, then m∠AMB = 180
 - if M is the midpoint of line AB, then m∠AMB = 180
 - if (m∠XPW = 180) and (m∠YPZ = 180), then m∠WPZ = m∠XPY
 - if (distance AB = distance DE) and (m∠ABC = m∠DEF) and (distance BC = distance EF), then △ABC ≅ △DEF
 - if △ABC ≅ △DEF, then m∠CAB = m∠FDE
 - if m∠ABC = 180, then m∠XCB = m∠XCA
 - if M is the midpoint of line AB, then point M is in segment AB
 - if (point M is in segment BC) and (m∠AME = 180) and (m∠ACD = 180), then point E lies in interior of ∠BCD
 - if point X lies in interior of ∠ABC, then m∠ABC = (m∠ABX) + (m∠XBC)
 - if m∠ACF = (m∠ACG) + (m∠GCF), then m∠FCA = (m∠FCG) + (m∠GCA)
 if the following are true:
- a = b + c
 - b > 0
 
then a > c
- if (m∠WPY = 180) and (m∠XPZ = 180), then m∠YPX = m∠WPZ
 if the following are true:
- a > b
 - a = c
 
then c > b
if the following are true:
- a = b
 - a = c
 
then b = c
if the following are true:
- a > b
 - b = c
 
then a > c
- if m∠ABC = 180, then m∠XAB = m∠XAC
 if the following are true:
- a > b
 - b = c
 
then a > c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.