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

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Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true