132,807 views
6 votes
6 votes
Geometry: complete this proof (ASAP!!!!! It’s urgent)

Geometry: complete this proof (ASAP!!!!! It’s urgent)-example-1
User Ahmed Abdelmeged
by
2.8k points

1 Answer

7 votes
7 votes

Answer:

1. Given.

2. Alternate Interior Angles Theorem.

3. m<2 + m<7 = 180 by definition of supplementary angles. By definition of congruent angles, m<2 = m<4 and m<5 = m<7, therefore m<4 + m<5 = 180 by substitution property of equality. By definition of supplementary angles, <4 is supplementary to <5.

4. Converse of Consecutive Angles Theorem.

User VvMINOvv
by
2.4k points