Answer:
4. m∡y+m∡z
6. m∡x+m∡z
Explanation:
Statement (Reason in bracket)
1. AC ║ DF (Given)
2. m∡w+m∡x=180° (These angles form a linear pair)
3. m∡y+m∡z = 180° (These angles form a linear pair)
4. m∡w+m∡x= m∡y+m∡z (Substitution (2,3)).
5 m∡x = m∡y (Alternate interior angles of parallel lines are congruent.)
6. m∡w+m∡x =m∡x+m∡z (Substitution (4,5))here m∡y is substituted by m∡x.
7. m∡w=m∡z Subtract m∡x from both sides of the equation 6.
