Given: AB || DC and m22=m24
Prove: AD || BC
A
D
1. AB | DC
2.
4
2
m22-m24
B
Statements
3
3. 21 and 24 are supplements
4. ?
5.
m/1+m/2=180°
6. 21 and 22 are supplements
7. AD BC
C
1. given
2. given
3.
Reasons
same side interior angles thm.
def. of supplementary angles
5. substitution
7.
def. of supplementary angles
converse same side interior angles thm.