Given: mZ3 = m 24
Prove:
Z1, Z2 are supplementary
STATEMENT
REASON
1. m Z3 = m 24
1. given
2. Z2, Z3 are supplementary
2.
sides in
rays
3.m2 2 + m 2 3 = 180°
3. Definition of
angles
4.m Z2 + m 2 4 = 180°
4. Substitution
5. m Z1 = m 24
5. Opposite rays
are supplementary
6. m2 2 + m Z1 = 180°
6
7. Z 1,22 are supplementary
7. Definition of
angles