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

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?