Given: ab || dc and m 22 = m 24
prove: ad || bc
statements
1. ab dc
2. m 22= m 24
3. < 1 and 24 are supplements
3.
reasons
given
given
same side interior angles thm.
def, of supplementary angles
substitution
def. of supplementary angles
converse same side interior angles thm
4.
5. m1-mz2 = 180°
6. _1 and 22 are supplements
7. ad bc