1. Warm Up

2. 2.7 Transitive and Substitution Property

4. Remember train of logic:
<B <A
< A <C
<B <C
If <B is to <A and
<A is to <C then
<B is to <C

6. Substitution Property

7. Example:
<1 comp <2 given
< <3 given
<1 comp <3 If an angle is a comp. to angles, then it is a complement to both angles. (substitution)

8. Write a proof

9. Remember, you can substitute <3 in for <1 so that <3 + <2 = 90.

11. Once you find that y = x, you can substitute x in for y for either angle since they are both congruent to <Q.